What is the Least Common Multiple of 51160 and 51167?

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 51160 and 51167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51160 and 51167, than apply into the LCM equation.

GCF(51160,51167) = 1
LCM(51160,51167) = ( 51160 × 51167) / 1
LCM(51160,51167) = 2617703720 / 1
LCM(51160,51167) = 2617703720

Least Common Multiple (LCM) of 51160 and 51167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51160 and 51167. First we will calculate the prime factors of 51160 and 51167.

Prime Factorization of 51160

Prime Factorization of 51167

Now multiplying the highest exponent prime factors to calculate the LCM of 51160 and 51167.

LCM(51160,51167) = 2³ × 5¹ × 1279¹ × 19¹ × 2693¹
LCM(51160,51167) = 2617703720