What is the Least Common Multiple of 93720 and 93725?

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 93720 and 93725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93720 and 93725, than apply into the LCM equation.

GCF(93720,93725) = 5
LCM(93720,93725) = ( 93720 × 93725) / 5
LCM(93720,93725) = 8783907000 / 5
LCM(93720,93725) = 1756781400

Least Common Multiple (LCM) of 93720 and 93725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93720 and 93725. First we will calculate the prime factors of 93720 and 93725.

Prime Factorization of 93720

Prime Factorization of 93725

Now multiplying the highest exponent prime factors to calculate the LCM of 93720 and 93725.

LCM(93720,93725) = 2³ × 3¹ × 5² × 11¹ × 71¹ × 23¹ × 163¹
LCM(93720,93725) = 1756781400