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What is the Least Common Multiple of 60476 and 60493?

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 60476 and 60493 is 3658374668.

LCM(60476,60493) = 3658374668

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Least Common Multiple of 60476 and 60493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60476 and 60493, than apply into the LCM equation.

GCF(60476,60493) = 1
LCM(60476,60493) = ( 60476 × 60493) / 1
LCM(60476,60493) = 3658374668 / 1
LCM(60476,60493) = 3658374668

Least Common Multiple (LCM) of 60476 and 60493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60476 and 60493. First we will calculate the prime factors of 60476 and 60493.

Prime Factorization of 60476

Prime factors of 60476 are 2, 13, 1163. Prime factorization of 60476 in exponential form is:

60476 = 22 × 131 × 11631

Prime Factorization of 60493

Prime factors of 60493 are 60493. Prime factorization of 60493 in exponential form is:

60493 = 604931

Now multiplying the highest exponent prime factors to calculate the LCM of 60476 and 60493.

LCM(60476,60493) = 22 × 131 × 11631 × 604931
LCM(60476,60493) = 3658374668