What is the Least Common Multiple of 94734 and 94744?

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 94734 and 94744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94734 and 94744, than apply into the LCM equation.

GCF(94734,94744) = 2
LCM(94734,94744) = ( 94734 × 94744) / 2
LCM(94734,94744) = 8975478096 / 2
LCM(94734,94744) = 4487739048

Least Common Multiple (LCM) of 94734 and 94744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94734 and 94744. First we will calculate the prime factors of 94734 and 94744.

Prime Factorization of 94734

Prime Factorization of 94744

Now multiplying the highest exponent prime factors to calculate the LCM of 94734 and 94744.

LCM(94734,94744) = 2³ × 3² × 19¹ × 277¹ × 13¹ × 911¹
LCM(94734,94744) = 4487739048