LCM for 55 and 75

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What's the Least Common Multiple (LCM) of 55 and 75?

Answer

LCM of 55 and 75 is
825

First common multiples: 825; 1,650; 2,475; …

825 is divisible by both: 825 ÷ 55 = 15, 825 ÷ 75 = 11 — and 15 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/55 by 15 and of y/75 by 11.

55 = 5 × 11

75 = 3 × 52

Prime5575Highest power
3—33
555252
1111—11

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

LCM = 3 × 52 × 11 = 825

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LCM Table

Number 1Number 2LCM
5560660
55613,355
55623,410
55633,465
55643,520
5565715
5566330
55673,685
55683,740
55693,795
5570770
55713,905
55723,960
55734,015
55744,070
5575825
55764,180
5577385
55784,290
55794,345
5580880
55814,455
55824,510
55834,565
55844,620
5585935
55864,730
55874,785
5588440
55894,895

FAQ

What's the Least Common Multiple (LCM) of 55 and 75?

LCM of 55 and 75 is 825

How to find the LCM of 55 and 75 using prime factorization?

To find the LCM of 55 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 825.

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 55 and 75: LCM = 825, GCF = 5.

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