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What is the Least Common Multiple of 68581 and 68601?

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 68581 and 68601 is 4704725181.

LCM(68581,68601) = 4704725181

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Least Common Multiple of 68581 and 68601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68581 and 68601, than apply into the LCM equation.

GCF(68581,68601) = 1
LCM(68581,68601) = ( 68581 × 68601) / 1
LCM(68581,68601) = 4704725181 / 1
LCM(68581,68601) = 4704725181

Least Common Multiple (LCM) of 68581 and 68601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68581 and 68601. First we will calculate the prime factors of 68581 and 68601.

Prime Factorization of 68581

Prime factors of 68581 are 68581. Prime factorization of 68581 in exponential form is:

68581 = 685811

Prime Factorization of 68601

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

68601 = 31 × 131 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 68581 and 68601.

LCM(68581,68601) = 685811 × 31 × 131 × 17591
LCM(68581,68601) = 4704725181