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What is the Least Common Multiple of 60139 and 60153?

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 60139 and 60153 is 3617541267.

LCM(60139,60153) = 3617541267

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Least Common Multiple of 60139 and 60153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60139 and 60153, than apply into the LCM equation.

GCF(60139,60153) = 1
LCM(60139,60153) = ( 60139 × 60153) / 1
LCM(60139,60153) = 3617541267 / 1
LCM(60139,60153) = 3617541267

Least Common Multiple (LCM) of 60139 and 60153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60139 and 60153. First we will calculate the prime factors of 60139 and 60153.

Prime Factorization of 60139

Prime factors of 60139 are 60139. Prime factorization of 60139 in exponential form is:

60139 = 601391

Prime Factorization of 60153

Prime factors of 60153 are 3, 20051. Prime factorization of 60153 in exponential form is:

60153 = 31 × 200511

Now multiplying the highest exponent prime factors to calculate the LCM of 60139 and 60153.

LCM(60139,60153) = 601391 × 31 × 200511
LCM(60139,60153) = 3617541267