What is the Least Common Multiple of 27142 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 of 27142 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 27142 and 27160, than apply into the LCM equation.

GCF(27142,27160) = 2
LCM(27142,27160) = ( 27142 × 27160) / 2
LCM(27142,27160) = 737176720 / 2
LCM(27142,27160) = 368588360

Least Common Multiple (LCM) of 27142 and 27160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27142 and 27160. First we will calculate the prime factors of 27142 and 27160.

Prime Factorization of 27142

Prime Factorization of 27160

Now multiplying the highest exponent prime factors to calculate the LCM of 27142 and 27160.

LCM(27142,27160) = 2³ × 41¹ × 331¹ × 5¹ × 7¹ × 97¹
LCM(27142,27160) = 368588360