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What is the Least Common Multiple of 66712 and 66732?

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 66712 and 66732 is 1112956296.

LCM(66712,66732) = 1112956296

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Least Common Multiple of 66712 and 66732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66712 and 66732, than apply into the LCM equation.

GCF(66712,66732) = 4
LCM(66712,66732) = ( 66712 × 66732) / 4
LCM(66712,66732) = 4451825184 / 4
LCM(66712,66732) = 1112956296

Least Common Multiple (LCM) of 66712 and 66732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66712 and 66732. First we will calculate the prime factors of 66712 and 66732.

Prime Factorization of 66712

Prime factors of 66712 are 2, 31, 269. Prime factorization of 66712 in exponential form is:

66712 = 23 × 311 × 2691

Prime Factorization of 66732

Prime factors of 66732 are 2, 3, 67, 83. Prime factorization of 66732 in exponential form is:

66732 = 22 × 31 × 671 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 66712 and 66732.

LCM(66712,66732) = 23 × 311 × 2691 × 31 × 671 × 831
LCM(66712,66732) = 1112956296