What is the Least Common Multiple of 94760 and 94764?

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 94760 and 94764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94760 and 94764, than apply into the LCM equation.

GCF(94760,94764) = 4
LCM(94760,94764) = ( 94760 × 94764) / 4
LCM(94760,94764) = 8979836640 / 4
LCM(94760,94764) = 2244959160

Least Common Multiple (LCM) of 94760 and 94764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94760 and 94764. First we will calculate the prime factors of 94760 and 94764.

Prime Factorization of 94760

Prime Factorization of 94764

Now multiplying the highest exponent prime factors to calculate the LCM of 94760 and 94764.

LCM(94760,94764) = 2³ × 5¹ × 23¹ × 103¹ × 3¹ × 53¹ × 149¹
LCM(94760,94764) = 2244959160