LCM for 60 and 345

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 345?

Answer

LCM of 60 and 345 is 1,380

(One thousand, three hundred eighty)

Finding LCM for 60 and 345 using GCF of these numbers

The first method to find LCM for numbers 60 and 345 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 345 is 15, so

LCM = (60 × 345) ÷ 15

LCM = 20700 ÷ 15

LCM = 1380

Finding LCM for 60 and 345 by Listing Multiples

The second method to find LCM for numbers 60 and 345 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500

Multiples of 345: 345, 690, 1035, 1380, 1725, 2070

So the LCM for 60 and 345 is 1380

Finding LCM for 60 and 345 by Prime Factorization

Another method to find LCM for numbers 60 and 345 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 345: 3, 5, 23 (exponent form: 31, 51, 231)

22 × 31 × 51 × 231 = 1380

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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 60 and 345? (The answer is: 1380). Select the first number (e.g. '60') and the second number (e.g. '345'). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
453451035
46345690
4734516215
483455520
4934516905
503453450
513455865
5234517940
5334518285
543456210
553453795
5634519320
573456555
5834520010
5934520355
603451380
6134521045
6234521390
633457245
6434522080
653454485
663457590
6734523115
6834523460
69345345
703454830
7134524495
723458280
7334525185
7434525530

FAQ

What's the Least Common Multiple (LCM) of 60 and 345?

LCM of 60 and 345 is 1,380

How to find the LCM of 60 and 345 using prime factorization?

To find the LCM of 60 and 345, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,380.

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 60 and 345: LCM = 1,380, GCF = 15.

See Also