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What is the Least Common Multiple of 27478 and 27486?

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 27478 and 27486 is 377630154.

LCM(27478,27486) = 377630154

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Least Common Multiple of 27478 and 27486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27478 and 27486, than apply into the LCM equation.

GCF(27478,27486) = 2
LCM(27478,27486) = ( 27478 × 27486) / 2
LCM(27478,27486) = 755260308 / 2
LCM(27478,27486) = 377630154

Least Common Multiple (LCM) of 27478 and 27486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27478 and 27486. First we will calculate the prime factors of 27478 and 27486.

Prime Factorization of 27478

Prime factors of 27478 are 2, 11, 1249. Prime factorization of 27478 in exponential form is:

27478 = 21 × 111 × 12491

Prime Factorization of 27486

Prime factors of 27486 are 2, 3, 509. Prime factorization of 27486 in exponential form is:

27486 = 21 × 33 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 27478 and 27486.

LCM(27478,27486) = 21 × 111 × 12491 × 33 × 5091
LCM(27478,27486) = 377630154