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What is the Least Common Multiple of 60727 and 60747?

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 60747 is 3688983069.

LCM(60727,60747) = 3688983069

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Least Common Multiple of 60727 and 60747 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 60747, than apply into the LCM equation.

GCF(60727,60747) = 1
LCM(60727,60747) = ( 60727 × 60747) / 1
LCM(60727,60747) = 3688983069 / 1
LCM(60727,60747) = 3688983069

Least Common Multiple (LCM) of 60727 and 60747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60727 and 60747. First we will calculate the prime factors of 60727 and 60747.

Prime Factorization of 60727

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

60727 = 607271

Prime Factorization of 60747

Prime factors of 60747 are 3, 20249. Prime factorization of 60747 in exponential form is:

60747 = 31 × 202491

Now multiplying the highest exponent prime factors to calculate the LCM of 60727 and 60747.

LCM(60727,60747) = 607271 × 31 × 202491
LCM(60727,60747) = 3688983069