What is the Least Common Multiple of 94736 and 94742?

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 94736 and 94742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94736 and 94742, than apply into the LCM equation.

GCF(94736,94742) = 2
LCM(94736,94742) = ( 94736 × 94742) / 2
LCM(94736,94742) = 8975478112 / 2
LCM(94736,94742) = 4487739056

Least Common Multiple (LCM) of 94736 and 94742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94736 and 94742. First we will calculate the prime factors of 94736 and 94742.

Prime Factorization of 94736

Prime Factorization of 94742

Now multiplying the highest exponent prime factors to calculate the LCM of 94736 and 94742.

LCM(94736,94742) = 2⁴ × 31¹ × 191¹ × 127¹ × 373¹
LCM(94736,94742) = 4487739056