GCF and LCM Calculator Logo

What is the Least Common Multiple of 27146 and 27160?

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 27146 and 27160 is 52663240.

LCM(27146,27160) = 52663240

LCM Calculator and
and

Least Common Multiple of 27146 and 27160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27146 and 27160, than apply into the LCM equation.

GCF(27146,27160) = 14
LCM(27146,27160) = ( 27146 × 27160) / 14
LCM(27146,27160) = 737285360 / 14
LCM(27146,27160) = 52663240

Least Common Multiple (LCM) of 27146 and 27160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27146 and 27160. First we will calculate the prime factors of 27146 and 27160.

Prime Factorization of 27146

Prime factors of 27146 are 2, 7, 277. Prime factorization of 27146 in exponential form is:

27146 = 21 × 72 × 2771

Prime Factorization of 27160

Prime factors of 27160 are 2, 5, 7, 97. Prime factorization of 27160 in exponential form is:

27160 = 23 × 51 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 27146 and 27160.

LCM(27146,27160) = 23 × 72 × 2771 × 51 × 971
LCM(27146,27160) = 52663240