What is the Least Common Multiple of 93724 and 93743?

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 93724 and 93743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93724 and 93743, than apply into the LCM equation.

GCF(93724,93743) = 1
LCM(93724,93743) = ( 93724 × 93743) / 1
LCM(93724,93743) = 8785968932 / 1
LCM(93724,93743) = 8785968932

Least Common Multiple (LCM) of 93724 and 93743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93724 and 93743. First we will calculate the prime factors of 93724 and 93743.

Prime Factorization of 93724

Prime Factorization of 93743

Now multiplying the highest exponent prime factors to calculate the LCM of 93724 and 93743.

LCM(93724,93743) = 2² × 23431¹ × 13¹ × 7211¹
LCM(93724,93743) = 8785968932