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What is the Least Common Multiple of 66660 and 66678?

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 66660 and 66678 is 740792580.

LCM(66660,66678) = 740792580

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Least Common Multiple of 66660 and 66678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66660 and 66678, than apply into the LCM equation.

GCF(66660,66678) = 6
LCM(66660,66678) = ( 66660 × 66678) / 6
LCM(66660,66678) = 4444755480 / 6
LCM(66660,66678) = 740792580

Least Common Multiple (LCM) of 66660 and 66678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66660 and 66678. First we will calculate the prime factors of 66660 and 66678.

Prime Factorization of 66660

Prime factors of 66660 are 2, 3, 5, 11, 101. Prime factorization of 66660 in exponential form is:

66660 = 22 × 31 × 51 × 111 × 1011

Prime Factorization of 66678

Prime factors of 66678 are 2, 3, 11113. Prime factorization of 66678 in exponential form is:

66678 = 21 × 31 × 111131

Now multiplying the highest exponent prime factors to calculate the LCM of 66660 and 66678.

LCM(66660,66678) = 22 × 31 × 51 × 111 × 1011 × 111131
LCM(66660,66678) = 740792580