What is the Least Common Multiple of 93870 and 93888?

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 93870 and 93888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93870 and 93888, than apply into the LCM equation.

GCF(93870,93888) = 18
LCM(93870,93888) = ( 93870 × 93888) / 18
LCM(93870,93888) = 8813266560 / 18
LCM(93870,93888) = 489625920

Least Common Multiple (LCM) of 93870 and 93888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93870 and 93888. First we will calculate the prime factors of 93870 and 93888.

Prime Factorization of 93870

Prime Factorization of 93888

Now multiplying the highest exponent prime factors to calculate the LCM of 93870 and 93888.

LCM(93870,93888) = 2⁶ × 3² × 5¹ × 7¹ × 149¹ × 163¹
LCM(93870,93888) = 489625920