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What is the Least Common Multiple of 60727 and 60731?

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 60731 is 3688011437.

LCM(60727,60731) = 3688011437

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Least Common Multiple of 60727 and 60731 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 60731, than apply into the LCM equation.

GCF(60727,60731) = 1
LCM(60727,60731) = ( 60727 × 60731) / 1
LCM(60727,60731) = 3688011437 / 1
LCM(60727,60731) = 3688011437

Least Common Multiple (LCM) of 60727 and 60731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60727 and 60731. First we will calculate the prime factors of 60727 and 60731.

Prime Factorization of 60727

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

60727 = 607271

Prime Factorization of 60731

Prime factors of 60731 are 11, 5521. Prime factorization of 60731 in exponential form is:

60731 = 111 × 55211

Now multiplying the highest exponent prime factors to calculate the LCM of 60727 and 60731.

LCM(60727,60731) = 607271 × 111 × 55211
LCM(60727,60731) = 3688011437