LCM for 55 and 65

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What's the Least Common Multiple (LCM) of 55 and 65?

Answer

LCM of 55 and 65 is
715

First common multiples: 715; 1,430; 2,145; …

715 is divisible by both: 715 ÷ 55 = 13, 715 ÷ 65 = 11 — and 13 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 13 and of y/65 by 11.

55 = 5 × 11

65 = 5 × 13

Prime5565Highest power
5555
1111—11
13—1313

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

LCM = 5 × 11 × 13 = 715

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LCM Table

Number 1Number 2LCM
5550550
55512,805
55522,860
55532,915
55542,970
555555
55563,080
55573,135
55583,190
55593,245
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

FAQ

What's the Least Common Multiple (LCM) of 55 and 65?

LCM of 55 and 65 is 715

How to find the LCM of 55 and 65 using prime factorization?

To find the LCM of 55 and 65, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 715.

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 65: LCM = 715, GCF = 5.

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