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What is the Least Common Multiple of 77617 and 77621?

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 77617 and 77621 is 6024709157.

LCM(77617,77621) = 6024709157

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Least Common Multiple of 77617 and 77621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77617 and 77621, than apply into the LCM equation.

GCF(77617,77621) = 1
LCM(77617,77621) = ( 77617 × 77621) / 1
LCM(77617,77621) = 6024709157 / 1
LCM(77617,77621) = 6024709157

Least Common Multiple (LCM) of 77617 and 77621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77617 and 77621. First we will calculate the prime factors of 77617 and 77621.

Prime Factorization of 77617

Prime factors of 77617 are 77617. Prime factorization of 77617 in exponential form is:

77617 = 776171

Prime Factorization of 77621

Prime factors of 77621 are 77621. Prime factorization of 77621 in exponential form is:

77621 = 776211

Now multiplying the highest exponent prime factors to calculate the LCM of 77617 and 77621.

LCM(77617,77621) = 776171 × 776211
LCM(77617,77621) = 6024709157