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What is the Least Common Multiple of 60617 and 60621?

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 60617 and 60621 is 3674663157.

LCM(60617,60621) = 3674663157

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Least Common Multiple of 60617 and 60621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60617 and 60621, than apply into the LCM equation.

GCF(60617,60621) = 1
LCM(60617,60621) = ( 60617 × 60621) / 1
LCM(60617,60621) = 3674663157 / 1
LCM(60617,60621) = 3674663157

Least Common Multiple (LCM) of 60617 and 60621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60617 and 60621. First we will calculate the prime factors of 60617 and 60621.

Prime Factorization of 60617

Prime factors of 60617 are 60617. Prime factorization of 60617 in exponential form is:

60617 = 606171

Prime Factorization of 60621

Prime factors of 60621 are 3, 11, 167. Prime factorization of 60621 in exponential form is:

60621 = 31 × 112 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 60617 and 60621.

LCM(60617,60621) = 606171 × 31 × 112 × 1671
LCM(60617,60621) = 3674663157