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What is the Least Common Multiple of 66948 and 66954?

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 66948 and 66954 is 747072732.

LCM(66948,66954) = 747072732

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Least Common Multiple of 66948 and 66954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66948 and 66954, than apply into the LCM equation.

GCF(66948,66954) = 6
LCM(66948,66954) = ( 66948 × 66954) / 6
LCM(66948,66954) = 4482436392 / 6
LCM(66948,66954) = 747072732

Least Common Multiple (LCM) of 66948 and 66954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66948 and 66954. First we will calculate the prime factors of 66948 and 66954.

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

Prime Factorization of 66954

Prime factors of 66954 are 2, 3, 11159. Prime factorization of 66954 in exponential form is:

66954 = 21 × 31 × 111591

Now multiplying the highest exponent prime factors to calculate the LCM of 66948 and 66954.

LCM(66948,66954) = 22 × 31 × 71 × 7971 × 111591
LCM(66948,66954) = 747072732