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What is the Least Common Multiple of 66967 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 66967 and 66981 is 4485516627.

LCM(66967,66981) = 4485516627

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Least Common Multiple of 66967 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 66967 and 66981, than apply into the LCM equation.

GCF(66967,66981) = 1
LCM(66967,66981) = ( 66967 × 66981) / 1
LCM(66967,66981) = 4485516627 / 1
LCM(66967,66981) = 4485516627

Least Common Multiple (LCM) of 66967 and 66981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66967 and 66981. First we will calculate the prime factors of 66967 and 66981.

Prime Factorization of 66967

Prime factors of 66967 are 167, 401. Prime factorization of 66967 in exponential form is:

66967 = 1671 × 4011

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 66967 and 66981.

LCM(66967,66981) = 1671 × 4011 × 31 × 831 × 2691
LCM(66967,66981) = 4485516627