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What is the Least Common Multiple of 27725 and 27735?

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 27725 and 27735 is 153790575.

LCM(27725,27735) = 153790575

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Least Common Multiple of 27725 and 27735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27725 and 27735, than apply into the LCM equation.

GCF(27725,27735) = 5
LCM(27725,27735) = ( 27725 × 27735) / 5
LCM(27725,27735) = 768952875 / 5
LCM(27725,27735) = 153790575

Least Common Multiple (LCM) of 27725 and 27735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27725 and 27735. First we will calculate the prime factors of 27725 and 27735.

Prime Factorization of 27725

Prime factors of 27725 are 5, 1109. Prime factorization of 27725 in exponential form is:

27725 = 52 × 11091

Prime Factorization of 27735

Prime factors of 27735 are 3, 5, 43. Prime factorization of 27735 in exponential form is:

27735 = 31 × 51 × 432

Now multiplying the highest exponent prime factors to calculate the LCM of 27725 and 27735.

LCM(27725,27735) = 52 × 11091 × 31 × 432
LCM(27725,27735) = 153790575