What is the Least Common Multiple of 94770 and 94785?

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 94770 and 94785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94770 and 94785, than apply into the LCM equation.

GCF(94770,94785) = 15
LCM(94770,94785) = ( 94770 × 94785) / 15
LCM(94770,94785) = 8982774450 / 15
LCM(94770,94785) = 598851630

Least Common Multiple (LCM) of 94770 and 94785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94770 and 94785. First we will calculate the prime factors of 94770 and 94785.

Prime Factorization of 94770

Prime Factorization of 94785

Now multiplying the highest exponent prime factors to calculate the LCM of 94770 and 94785.

LCM(94770,94785) = 2¹ × 3⁶ × 5¹ × 13¹ × 71¹ × 89¹
LCM(94770,94785) = 598851630