LCM for 40 and 300

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What's the Least Common Multiple (LCM) of 40 and 300?

Answer

LCM of 40 and 300 is
600

First common multiples: 600; 1,200; 1,800; …

600 is divisible by both: 600 ÷ 40 = 15, 600 ÷ 300 = 2 — and 15 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 15 and of y/300 by 2.

40 = 23 × 5

300 = 22 × 3 × 52

Prime40300Highest power
2232223
3—33
555252

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 23 × 3 × 52 = 600

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LCM Table

Number 1Number 2LCM
40100200
40115920
40120120
401251,000
40144720
40150600
401551,240
40160160
40180360
401951,560
40220440
402251,800
40230920
402501,000
402552,040
40260520
402652,120
402901,160
40300600
403152,520
40320320
403301,320
403552,840
403701,480
40380760
403953,160
404153,320
40460920
404653,720
40480480

FAQ

What's the Least Common Multiple (LCM) of 40 and 300?

LCM of 40 and 300 is 600

How to find the LCM of 40 and 300 using prime factorization?

To find the LCM of 40 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 40 and 300: LCM = 600, GCF = 20.

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