What is the Least Common Multiple of 51152 and 51170?

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 51152 and 51170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51152 and 51170, than apply into the LCM equation.

GCF(51152,51170) = 2
LCM(51152,51170) = ( 51152 × 51170) / 2
LCM(51152,51170) = 2617447840 / 2
LCM(51152,51170) = 1308723920

Least Common Multiple (LCM) of 51152 and 51170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51152 and 51170. First we will calculate the prime factors of 51152 and 51170.

Prime Factorization of 51152

Prime Factorization of 51170

Now multiplying the highest exponent prime factors to calculate the LCM of 51152 and 51170.

LCM(51152,51170) = 2⁴ × 23¹ × 139¹ × 5¹ × 7¹ × 17¹ × 43¹
LCM(51152,51170) = 1308723920