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What is the Least Common Multiple of 59639 and 59651?

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 59639 and 59651 is 3557525989.

LCM(59639,59651) = 3557525989

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Least Common Multiple of 59639 and 59651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59639 and 59651, than apply into the LCM equation.

GCF(59639,59651) = 1
LCM(59639,59651) = ( 59639 × 59651) / 1
LCM(59639,59651) = 3557525989 / 1
LCM(59639,59651) = 3557525989

Least Common Multiple (LCM) of 59639 and 59651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59639 and 59651. First we will calculate the prime factors of 59639 and 59651.

Prime Factorization of 59639

Prime factors of 59639 are 23, 2593. Prime factorization of 59639 in exponential form is:

59639 = 231 × 25931

Prime Factorization of 59651

Prime factors of 59651 are 59651. Prime factorization of 59651 in exponential form is:

59651 = 596511

Now multiplying the highest exponent prime factors to calculate the LCM of 59639 and 59651.

LCM(59639,59651) = 231 × 25931 × 596511
LCM(59639,59651) = 3557525989