What is the Least Common Multiple of 41152 and 41170?

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 41152 and 41170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41152 and 41170, than apply into the LCM equation.

GCF(41152,41170) = 2
LCM(41152,41170) = ( 41152 × 41170) / 2
LCM(41152,41170) = 1694227840 / 2
LCM(41152,41170) = 847113920

Least Common Multiple (LCM) of 41152 and 41170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41152 and 41170. First we will calculate the prime factors of 41152 and 41170.

Prime Factorization of 41152

Prime Factorization of 41170

Now multiplying the highest exponent prime factors to calculate the LCM of 41152 and 41170.

LCM(41152,41170) = 2⁶ × 643¹ × 5¹ × 23¹ × 179¹
LCM(41152,41170) = 847113920