What is the Least Common Multiple of 41152 and 41167?

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 41167 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 41167, than apply into the LCM equation.

GCF(41152,41167) = 1
LCM(41152,41167) = ( 41152 × 41167) / 1
LCM(41152,41167) = 1694104384 / 1
LCM(41152,41167) = 1694104384

Least Common Multiple (LCM) of 41152 and 41167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41152 and 41167. First we will calculate the prime factors of 41152 and 41167.

Prime Factorization of 41152

Prime Factorization of 41167

Now multiplying the highest exponent prime factors to calculate the LCM of 41152 and 41167.

LCM(41152,41167) = 2⁶ × 643¹ × 7¹ × 5881¹
LCM(41152,41167) = 1694104384