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What is the Least Common Multiple of 60727 and 60735?

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 60727 and 60735 is 3688254345.

LCM(60727,60735) = 3688254345

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Least Common Multiple of 60727 and 60735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60727 and 60735, than apply into the LCM equation.

GCF(60727,60735) = 1
LCM(60727,60735) = ( 60727 × 60735) / 1
LCM(60727,60735) = 3688254345 / 1
LCM(60727,60735) = 3688254345

Least Common Multiple (LCM) of 60727 and 60735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60727 and 60735. First we will calculate the prime factors of 60727 and 60735.

Prime Factorization of 60727

Prime factors of 60727 are 60727. Prime factorization of 60727 in exponential form is:

60727 = 607271

Prime Factorization of 60735

Prime factors of 60735 are 3, 5, 4049. Prime factorization of 60735 in exponential form is:

60735 = 31 × 51 × 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 60727 and 60735.

LCM(60727,60735) = 607271 × 31 × 51 × 40491
LCM(60727,60735) = 3688254345