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What is the Least Common Multiple of 66736 and 66749?

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 66749 is 4454561264.

LCM(66736,66749) = 4454561264

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Least Common Multiple of 66736 and 66749 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 66749, than apply into the LCM equation.

GCF(66736,66749) = 1
LCM(66736,66749) = ( 66736 × 66749) / 1
LCM(66736,66749) = 4454561264 / 1
LCM(66736,66749) = 4454561264

Least Common Multiple (LCM) of 66736 and 66749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66736 and 66749. First we will calculate the prime factors of 66736 and 66749.

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 66749

Prime factors of 66749 are 66749. Prime factorization of 66749 in exponential form is:

66749 = 667491

Now multiplying the highest exponent prime factors to calculate the LCM of 66736 and 66749.

LCM(66736,66749) = 24 × 431 × 971 × 667491
LCM(66736,66749) = 4454561264