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What is the Least Common Multiple of 60466 and 60481?

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 60466 and 60481 is 3657044146.

LCM(60466,60481) = 3657044146

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Least Common Multiple of 60466 and 60481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60466 and 60481, than apply into the LCM equation.

GCF(60466,60481) = 1
LCM(60466,60481) = ( 60466 × 60481) / 1
LCM(60466,60481) = 3657044146 / 1
LCM(60466,60481) = 3657044146

Least Common Multiple (LCM) of 60466 and 60481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60466 and 60481. First we will calculate the prime factors of 60466 and 60481.

Prime Factorization of 60466

Prime factors of 60466 are 2, 7, 617. Prime factorization of 60466 in exponential form is:

60466 = 21 × 72 × 6171

Prime Factorization of 60481

Prime factors of 60481 are 31, 1951. Prime factorization of 60481 in exponential form is:

60481 = 311 × 19511

Now multiplying the highest exponent prime factors to calculate the LCM of 60466 and 60481.

LCM(60466,60481) = 21 × 72 × 6171 × 311 × 19511
LCM(60466,60481) = 3657044146