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What is the Least Common Multiple of 68601 and 68616?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68601 and 68616 is 1569042072.

LCM(68601,68616) = 1569042072

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Least Common Multiple of 68601 and 68616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68601 and 68616, than apply into the LCM equation.

GCF(68601,68616) = 3
LCM(68601,68616) = ( 68601 × 68616) / 3
LCM(68601,68616) = 4707126216 / 3
LCM(68601,68616) = 1569042072

Least Common Multiple (LCM) of 68601 and 68616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68601 and 68616. First we will calculate the prime factors of 68601 and 68616.

Prime Factorization of 68601

Prime factors of 68601 are 3, 13, 1759. Prime factorization of 68601 in exponential form is:

68601 = 31 × 131 × 17591

Prime Factorization of 68616

Prime factors of 68616 are 2, 3, 953. Prime factorization of 68616 in exponential form is:

68616 = 23 × 32 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 68601 and 68616.

LCM(68601,68616) = 32 × 131 × 17591 × 23 × 9531
LCM(68601,68616) = 1569042072