LCM for 85 and 120

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What's the Least Common Multiple (LCM) of 85 and 120?

Answer

LCM of 85 and 120 is
2,040

(Two thousand forty)

Finding LCM for 85 and 120 using GCF of these numbers

The first method to find LCM for numbers 85 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 85 and 120 is 5, so

LCM = (85 × 120) ÷ 5

LCM = 10,200 ÷ 5

LCM = 2,040

Finding LCM for 85 and 120 by Listing Multiples

The second method to find LCM for numbers 85 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1,020, 1,105, 1,190, 1,275, 1,360, 1,445, 1,530, 1,615, 1,700, 1,785, 1,870, 1,955, 2,040, 2,125, 2,210

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1,080, 1,200, 1,320, 1,440, 1,560, 1,680, 1,800, 1,920, 2,040, 2,160, 2,280

So the LCM for 85 and 120 is 2,040

Finding LCM for 85 and 120 by Prime Factorization

Another method to find LCM for numbers 85 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 85: 5, 17 (exponent form: 51, 171)

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

51 × 171 × 23 × 31 = 2,040

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 85 and 120? (The answer is: 2,040). Select the first number (e.g. '85') and the second number (e.g. '120'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
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LCM Table

Number 1Number 2LCM
851051,785
851069,010
851079,095
851089,180
851099,265
851101,870
851119,435
851129,520
851139,605
851149,690
851151,955
851169,860
851179,945
8511810,030
85119595
851202,040
8512110,285
8512210,370
8512310,455
8512410,540
851252,125
8512610,710
8512710,795
8512810,880
8512910,965
851302,210
8513111,135
8513211,220
8513311,305
8513411,390

FAQ

What's the Least Common Multiple (LCM) of 85 and 120?

LCM of 85 and 120 is 2,040

How to find the LCM of 85 and 120 using prime factorization?

To find the LCM of 85 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,040.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 85 and 120: LCM = 2,040, GCF = 5.

See Also