What is the Least Common Multiple of 94628 and 94640?

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 94628 and 94640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94628 and 94640, than apply into the LCM equation.

GCF(94628,94640) = 4
LCM(94628,94640) = ( 94628 × 94640) / 4
LCM(94628,94640) = 8955593920 / 4
LCM(94628,94640) = 2238898480

Least Common Multiple (LCM) of 94628 and 94640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94628 and 94640. First we will calculate the prime factors of 94628 and 94640.

Prime Factorization of 94628

Prime Factorization of 94640

Now multiplying the highest exponent prime factors to calculate the LCM of 94628 and 94640.

LCM(94628,94640) = 2⁴ × 41¹ × 577¹ × 5¹ × 7¹ × 13²
LCM(94628,94640) = 2238898480