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What is the Least Common Multiple of 66930 and 66948?

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 66930 and 66948 is 746804940.

LCM(66930,66948) = 746804940

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Least Common Multiple of 66930 and 66948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66930 and 66948, than apply into the LCM equation.

GCF(66930,66948) = 6
LCM(66930,66948) = ( 66930 × 66948) / 6
LCM(66930,66948) = 4480829640 / 6
LCM(66930,66948) = 746804940

Least Common Multiple (LCM) of 66930 and 66948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66930 and 66948. First we will calculate the prime factors of 66930 and 66948.

Prime Factorization of 66930

Prime factors of 66930 are 2, 3, 5, 23, 97. Prime factorization of 66930 in exponential form is:

66930 = 21 × 31 × 51 × 231 × 971

Prime Factorization of 66948

Prime factors of 66948 are 2, 3, 7, 797. Prime factorization of 66948 in exponential form is:

66948 = 22 × 31 × 71 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 66930 and 66948.

LCM(66930,66948) = 22 × 31 × 51 × 231 × 971 × 71 × 7971
LCM(66930,66948) = 746804940