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What is the Least Common Multiple of 60531 and 60541?

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 60531 and 60541 is 3664607271.

LCM(60531,60541) = 3664607271

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Least Common Multiple of 60531 and 60541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60531 and 60541, than apply into the LCM equation.

GCF(60531,60541) = 1
LCM(60531,60541) = ( 60531 × 60541) / 1
LCM(60531,60541) = 3664607271 / 1
LCM(60531,60541) = 3664607271

Least Common Multiple (LCM) of 60531 and 60541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60531 and 60541. First we will calculate the prime factors of 60531 and 60541.

Prime Factorization of 60531

Prime factors of 60531 are 3, 20177. Prime factorization of 60531 in exponential form is:

60531 = 31 × 201771

Prime Factorization of 60541

Prime factors of 60541 are 13, 4657. Prime factorization of 60541 in exponential form is:

60541 = 131 × 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 60531 and 60541.

LCM(60531,60541) = 31 × 201771 × 131 × 46571
LCM(60531,60541) = 3664607271