What is the Least Common Multiple of 49047 and 49059?

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 49047 and 49059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49047 and 49059, than apply into the LCM equation.

GCF(49047,49059) = 3
LCM(49047,49059) = ( 49047 × 49059) / 3
LCM(49047,49059) = 2406196773 / 3
LCM(49047,49059) = 802065591

Least Common Multiple (LCM) of 49047 and 49059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49047 and 49059. First we will calculate the prime factors of 49047 and 49059.

Prime Factorization of 49047

Prime Factorization of 49059

Now multiplying the highest exponent prime factors to calculate the LCM of 49047 and 49059.

LCM(49047,49059) = 3³ × 16349¹ × 23¹ × 79¹
LCM(49047,49059) = 802065591