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What is the Least Common Multiple of 60717 and 60737?

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 60717 and 60737 is 3687768429.

LCM(60717,60737) = 3687768429

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Least Common Multiple of 60717 and 60737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60717 and 60737, than apply into the LCM equation.

GCF(60717,60737) = 1
LCM(60717,60737) = ( 60717 × 60737) / 1
LCM(60717,60737) = 3687768429 / 1
LCM(60717,60737) = 3687768429

Least Common Multiple (LCM) of 60717 and 60737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60717 and 60737. First we will calculate the prime factors of 60717 and 60737.

Prime Factorization of 60717

Prime factors of 60717 are 3, 37, 547. Prime factorization of 60717 in exponential form is:

60717 = 31 × 371 × 5471

Prime Factorization of 60737

Prime factors of 60737 are 60737. Prime factorization of 60737 in exponential form is:

60737 = 607371

Now multiplying the highest exponent prime factors to calculate the LCM of 60717 and 60737.

LCM(60717,60737) = 31 × 371 × 5471 × 607371
LCM(60717,60737) = 3687768429