What is the Least Common Multiple of 94620 and 94635?

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 94620 and 94635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94620 and 94635, than apply into the LCM equation.

GCF(94620,94635) = 15
LCM(94620,94635) = ( 94620 × 94635) / 15
LCM(94620,94635) = 8954363700 / 15
LCM(94620,94635) = 596957580

Least Common Multiple (LCM) of 94620 and 94635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94620 and 94635. First we will calculate the prime factors of 94620 and 94635.

Prime Factorization of 94620

Prime Factorization of 94635

Now multiplying the highest exponent prime factors to calculate the LCM of 94620 and 94635.

LCM(94620,94635) = 2² × 3³ × 5¹ × 19¹ × 83¹ × 701¹
LCM(94620,94635) = 596957580