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What is the Least Common Multiple of 60121 and 60126?

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 60121 and 60126 is 3614835246.

LCM(60121,60126) = 3614835246

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Least Common Multiple of 60121 and 60126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60121 and 60126, than apply into the LCM equation.

GCF(60121,60126) = 1
LCM(60121,60126) = ( 60121 × 60126) / 1
LCM(60121,60126) = 3614835246 / 1
LCM(60121,60126) = 3614835246

Least Common Multiple (LCM) of 60121 and 60126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60121 and 60126. First we will calculate the prime factors of 60121 and 60126.

Prime Factorization of 60121

Prime factors of 60121 are 59, 1019. Prime factorization of 60121 in exponential form is:

60121 = 591 × 10191

Prime Factorization of 60126

Prime factors of 60126 are 2, 3, 11, 911. Prime factorization of 60126 in exponential form is:

60126 = 21 × 31 × 111 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 60121 and 60126.

LCM(60121,60126) = 591 × 10191 × 21 × 31 × 111 × 9111
LCM(60121,60126) = 3614835246