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What is the Least Common Multiple of 60118 and 60127?

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 60118 and 60127 is 3614714986.

LCM(60118,60127) = 3614714986

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Least Common Multiple of 60118 and 60127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60118 and 60127, than apply into the LCM equation.

GCF(60118,60127) = 1
LCM(60118,60127) = ( 60118 × 60127) / 1
LCM(60118,60127) = 3614714986 / 1
LCM(60118,60127) = 3614714986

Least Common Multiple (LCM) of 60118 and 60127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60118 and 60127. First we will calculate the prime factors of 60118 and 60127.

Prime Factorization of 60118

Prime factors of 60118 are 2, 30059. Prime factorization of 60118 in exponential form is:

60118 = 21 × 300591

Prime Factorization of 60127

Prime factors of 60127 are 60127. Prime factorization of 60127 in exponential form is:

60127 = 601271

Now multiplying the highest exponent prime factors to calculate the LCM of 60118 and 60127.

LCM(60118,60127) = 21 × 300591 × 601271
LCM(60118,60127) = 3614714986