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What is the Least Common Multiple of 60464 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 60464 and 60481 is 3656923184.

LCM(60464,60481) = 3656923184

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Least Common Multiple of 60464 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 60464 and 60481, than apply into the LCM equation.

GCF(60464,60481) = 1
LCM(60464,60481) = ( 60464 × 60481) / 1
LCM(60464,60481) = 3656923184 / 1
LCM(60464,60481) = 3656923184

Least Common Multiple (LCM) of 60464 and 60481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60464 and 60481. First we will calculate the prime factors of 60464 and 60481.

Prime Factorization of 60464

Prime factors of 60464 are 2, 3779. Prime factorization of 60464 in exponential form is:

60464 = 24 × 37791

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 60464 and 60481.

LCM(60464,60481) = 24 × 37791 × 311 × 19511
LCM(60464,60481) = 3656923184