What is the Least Common Multiple of 49072 and 49089?

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 49072 and 49089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49072 and 49089, than apply into the LCM equation.

GCF(49072,49089) = 1
LCM(49072,49089) = ( 49072 × 49089) / 1
LCM(49072,49089) = 2408895408 / 1
LCM(49072,49089) = 2408895408

Least Common Multiple (LCM) of 49072 and 49089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49072 and 49089. First we will calculate the prime factors of 49072 and 49089.

Prime Factorization of 49072

Prime Factorization of 49089

Now multiplying the highest exponent prime factors to calculate the LCM of 49072 and 49089.

LCM(49072,49089) = 2⁴ × 3067¹ × 3¹ × 16363¹
LCM(49072,49089) = 2408895408