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What is the Least Common Multiple of 76616 and 76621?

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 76616 and 76621 is 5870394536.

LCM(76616,76621) = 5870394536

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Least Common Multiple of 76616 and 76621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76616 and 76621, than apply into the LCM equation.

GCF(76616,76621) = 1
LCM(76616,76621) = ( 76616 × 76621) / 1
LCM(76616,76621) = 5870394536 / 1
LCM(76616,76621) = 5870394536

Least Common Multiple (LCM) of 76616 and 76621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76616 and 76621. First we will calculate the prime factors of 76616 and 76621.

Prime Factorization of 76616

Prime factors of 76616 are 2, 61, 157. Prime factorization of 76616 in exponential form is:

76616 = 23 × 611 × 1571

Prime Factorization of 76621

Prime factors of 76621 are 193, 397. Prime factorization of 76621 in exponential form is:

76621 = 1931 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 76616 and 76621.

LCM(76616,76621) = 23 × 611 × 1571 × 1931 × 3971
LCM(76616,76621) = 5870394536