What is the Least Common Multiple of 94770 and 94775?

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 94775 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 94775, than apply into the LCM equation.

GCF(94770,94775) = 5
LCM(94770,94775) = ( 94770 × 94775) / 5
LCM(94770,94775) = 8981826750 / 5
LCM(94770,94775) = 1796365350

Least Common Multiple (LCM) of 94770 and 94775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94770 and 94775. First we will calculate the prime factors of 94770 and 94775.

Prime Factorization of 94770

Prime Factorization of 94775

Now multiplying the highest exponent prime factors to calculate the LCM of 94770 and 94775.

LCM(94770,94775) = 2¹ × 3⁶ × 5² × 13¹ × 17¹ × 223¹
LCM(94770,94775) = 1796365350