What is the Least Common Multiple of 94740 and 94749?

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 94740 and 94749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94740 and 94749, than apply into the LCM equation.

GCF(94740,94749) = 3
LCM(94740,94749) = ( 94740 × 94749) / 3
LCM(94740,94749) = 8976520260 / 3
LCM(94740,94749) = 2992173420

Least Common Multiple (LCM) of 94740 and 94749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94740 and 94749. First we will calculate the prime factors of 94740 and 94749.

Prime Factorization of 94740

Prime Factorization of 94749

Now multiplying the highest exponent prime factors to calculate the LCM of 94740 and 94749.

LCM(94740,94749) = 2² × 3¹ × 5¹ × 1579¹ × 31583¹
LCM(94740,94749) = 2992173420