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What is the Least Common Multiple of 60136 and 60147?

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 60136 and 60147 is 3616999992.

LCM(60136,60147) = 3616999992

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Least Common Multiple of 60136 and 60147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60136 and 60147, than apply into the LCM equation.

GCF(60136,60147) = 1
LCM(60136,60147) = ( 60136 × 60147) / 1
LCM(60136,60147) = 3616999992 / 1
LCM(60136,60147) = 3616999992

Least Common Multiple (LCM) of 60136 and 60147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60136 and 60147. First we will calculate the prime factors of 60136 and 60147.

Prime Factorization of 60136

Prime factors of 60136 are 2, 7517. Prime factorization of 60136 in exponential form is:

60136 = 23 × 75171

Prime Factorization of 60147

Prime factors of 60147 are 3, 41, 163. Prime factorization of 60147 in exponential form is:

60147 = 32 × 411 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 60136 and 60147.

LCM(60136,60147) = 23 × 75171 × 32 × 411 × 1631
LCM(60136,60147) = 3616999992