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What is the Least Common Multiple of 66978 and 66996?

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 66978 and 66996 is 249292116.

LCM(66978,66996) = 249292116

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Least Common Multiple of 66978 and 66996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66978 and 66996, than apply into the LCM equation.

GCF(66978,66996) = 18
LCM(66978,66996) = ( 66978 × 66996) / 18
LCM(66978,66996) = 4487258088 / 18
LCM(66978,66996) = 249292116

Least Common Multiple (LCM) of 66978 and 66996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66978 and 66996. First we will calculate the prime factors of 66978 and 66996.

Prime Factorization of 66978

Prime factors of 66978 are 2, 3, 61. Prime factorization of 66978 in exponential form is:

66978 = 21 × 32 × 612

Prime Factorization of 66996

Prime factors of 66996 are 2, 3, 1861. Prime factorization of 66996 in exponential form is:

66996 = 22 × 32 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 66978 and 66996.

LCM(66978,66996) = 22 × 32 × 612 × 18611
LCM(66978,66996) = 249292116