LCM for 40 and 225

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What's the Least Common Multiple (LCM) of 40 and 225?

Answer

LCM of 40 and 225 is
1,800

First common multiples: 1,800; 3,600; 5,400; …

1,800 is divisible by both: 1,800 ÷ 40 = 45; 1,800 ÷ 225 = 8 — and 45 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 45 and of y/225 by 8.

40 = 23 × 5

225 = 32 × 52

Prime40225Highest power
223—23
3—3232
555252

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

LCM = 23 × 32 × 52 = 1,800

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LCM Table

Number 1Number 2LCM
4084840
4085680
4090360
4096480
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
402952,360
40300600
403152,520
40320320
403301,320
403552,840
403701,480
40380760

FAQ

What's the Least Common Multiple (LCM) of 40 and 225?

LCM of 40 and 225 is 1,800

How to find the LCM of 40 and 225 using prime factorization?

To find the LCM of 40 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

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 225: LCM = 1,800, GCF = 5.

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