What is the Least Common Multiple of 41152 and 41159?

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 41159 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 41159, than apply into the LCM equation.

GCF(41152,41159) = 1
LCM(41152,41159) = ( 41152 × 41159) / 1
LCM(41152,41159) = 1693775168 / 1
LCM(41152,41159) = 1693775168

Least Common Multiple (LCM) of 41152 and 41159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41152 and 41159. First we will calculate the prime factors of 41152 and 41159.

Prime Factorization of 41152

Prime Factorization of 41159

Now multiplying the highest exponent prime factors to calculate the LCM of 41152 and 41159.

LCM(41152,41159) = 2⁶ × 643¹ × 79¹ × 521¹
LCM(41152,41159) = 1693775168