What is the Least Common Multiple of 49151 and 49157?

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 49151 and 49157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49151 and 49157, than apply into the LCM equation.

GCF(49151,49157) = 1
LCM(49151,49157) = ( 49151 × 49157) / 1
LCM(49151,49157) = 2416115707 / 1
LCM(49151,49157) = 2416115707

Least Common Multiple (LCM) of 49151 and 49157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49151 and 49157. First we will calculate the prime factors of 49151 and 49157.

Prime Factorization of 49151

Prime Factorization of 49157

Now multiplying the highest exponent prime factors to calculate the LCM of 49151 and 49157.

LCM(49151,49157) = 23¹ × 2137¹ × 49157¹
LCM(49151,49157) = 2416115707