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What is the Least Common Multiple of 66270 and 66279?

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 66270 and 66279 is 1464103110.

LCM(66270,66279) = 1464103110

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Least Common Multiple of 66270 and 66279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66270 and 66279, than apply into the LCM equation.

GCF(66270,66279) = 3
LCM(66270,66279) = ( 66270 × 66279) / 3
LCM(66270,66279) = 4392309330 / 3
LCM(66270,66279) = 1464103110

Least Common Multiple (LCM) of 66270 and 66279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66270 and 66279. First we will calculate the prime factors of 66270 and 66279.

Prime Factorization of 66270

Prime factors of 66270 are 2, 3, 5, 47. Prime factorization of 66270 in exponential form is:

66270 = 21 × 31 × 51 × 472

Prime Factorization of 66279

Prime factors of 66279 are 3, 22093. Prime factorization of 66279 in exponential form is:

66279 = 31 × 220931

Now multiplying the highest exponent prime factors to calculate the LCM of 66270 and 66279.

LCM(66270,66279) = 21 × 31 × 51 × 472 × 220931
LCM(66270,66279) = 1464103110