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What is the Least Common Multiple of 10650 and 10668?

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 10650 and 10668 is 18935700.

LCM(10650,10668) = 18935700

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Least Common Multiple of 10650 and 10668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10650 and 10668, than apply into the LCM equation.

GCF(10650,10668) = 6
LCM(10650,10668) = ( 10650 × 10668) / 6
LCM(10650,10668) = 113614200 / 6
LCM(10650,10668) = 18935700

Least Common Multiple (LCM) of 10650 and 10668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10650 and 10668. First we will calculate the prime factors of 10650 and 10668.

Prime Factorization of 10650

Prime factors of 10650 are 2, 3, 5, 71. Prime factorization of 10650 in exponential form is:

10650 = 21 × 31 × 52 × 711

Prime Factorization of 10668

Prime factors of 10668 are 2, 3, 7, 127. Prime factorization of 10668 in exponential form is:

10668 = 22 × 31 × 71 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10650 and 10668.

LCM(10650,10668) = 22 × 31 × 52 × 711 × 71 × 1271
LCM(10650,10668) = 18935700