LCM for 4 and 120

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What's the Least Common Multiple (LCM) of 4 and 120?

Answer

LCM of 4 and 120 is
120

(One hundred twenty)

Finding LCM for 4 and 120 using GCF of these numbers

The first method to find LCM for numbers 4 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 4 and 120 is 4, so

LCM = (4 × 120) ÷ 4

LCM = 480 ÷ 4

LCM = 120

Finding LCM for 4 and 120 by Listing Multiples

The second method to find LCM for numbers 4 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128

Multiples of 120: 120, 240, 360

So the LCM for 4 and 120 is 120

Finding LCM for 4 and 120 by Prime Factorization

Another method to find LCM for numbers 4 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 4: 2, 2 (exponent form: 22)

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

23 × 31 × 51 = 120

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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 4 and 120? (The answer is: 120). Select the first number (e.g. '4') 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
41836
41976
42020
42184
42424
425100
42652
429116
43060
435140
43636
43876
44040
443172
44444
445180
44692
447188
44848
450100
451204
454108
455220
459236
46060
48080
481324
4100100
4120120
41,0001,000

FAQ

What's the Least Common Multiple (LCM) of 4 and 120?

LCM of 4 and 120 is 120

How to find the LCM of 4 and 120 using prime factorization?

To find the LCM of 4 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

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 4 and 120: LCM = 120, GCF = 4.

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