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What is the Least Common Multiple of 66736 and 66747?

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 66736 and 66747 is 4454427792.

LCM(66736,66747) = 4454427792

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Least Common Multiple of 66736 and 66747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66736 and 66747, than apply into the LCM equation.

GCF(66736,66747) = 1
LCM(66736,66747) = ( 66736 × 66747) / 1
LCM(66736,66747) = 4454427792 / 1
LCM(66736,66747) = 4454427792

Least Common Multiple (LCM) of 66736 and 66747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66736 and 66747. First we will calculate the prime factors of 66736 and 66747.

Prime Factorization of 66736

Prime factors of 66736 are 2, 43, 97. Prime factorization of 66736 in exponential form is:

66736 = 24 × 431 × 971

Prime Factorization of 66747

Prime factors of 66747 are 3, 19, 1171. Prime factorization of 66747 in exponential form is:

66747 = 31 × 191 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 66736 and 66747.

LCM(66736,66747) = 24 × 431 × 971 × 31 × 191 × 11711
LCM(66736,66747) = 4454427792