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What is the Least Common Multiple of 66964 and 66981?

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 66964 and 66981 is 4485315684.

LCM(66964,66981) = 4485315684

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Least Common Multiple of 66964 and 66981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66964 and 66981, than apply into the LCM equation.

GCF(66964,66981) = 1
LCM(66964,66981) = ( 66964 × 66981) / 1
LCM(66964,66981) = 4485315684 / 1
LCM(66964,66981) = 4485315684

Least Common Multiple (LCM) of 66964 and 66981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66964 and 66981. First we will calculate the prime factors of 66964 and 66981.

Prime Factorization of 66964

Prime factors of 66964 are 2, 16741. Prime factorization of 66964 in exponential form is:

66964 = 22 × 167411

Prime Factorization of 66981

Prime factors of 66981 are 3, 83, 269. Prime factorization of 66981 in exponential form is:

66981 = 31 × 831 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 66964 and 66981.

LCM(66964,66981) = 22 × 167411 × 31 × 831 × 2691
LCM(66964,66981) = 4485315684