What is the Least Common Multiple of 93750 and 93770?

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 93750 and 93770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93750 and 93770, than apply into the LCM equation.

GCF(93750,93770) = 10
LCM(93750,93770) = ( 93750 × 93770) / 10
LCM(93750,93770) = 8790937500 / 10
LCM(93750,93770) = 879093750

Least Common Multiple (LCM) of 93750 and 93770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93750 and 93770. First we will calculate the prime factors of 93750 and 93770.

Prime Factorization of 93750

Prime Factorization of 93770

Now multiplying the highest exponent prime factors to calculate the LCM of 93750 and 93770.

LCM(93750,93770) = 2¹ × 3¹ × 5⁶ × 9377¹
LCM(93750,93770) = 879093750