What is the Least Common Multiple of 93921 and 93939?

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 93921 and 93939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93921 and 93939, than apply into the LCM equation.

GCF(93921,93939) = 3
LCM(93921,93939) = ( 93921 × 93939) / 3
LCM(93921,93939) = 8822844819 / 3
LCM(93921,93939) = 2940948273

Least Common Multiple (LCM) of 93921 and 93939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93921 and 93939. First we will calculate the prime factors of 93921 and 93939.

Prime Factorization of 93921

Prime Factorization of 93939

Now multiplying the highest exponent prime factors to calculate the LCM of 93921 and 93939.

LCM(93921,93939) = 3¹ × 31307¹ × 173¹ × 181¹
LCM(93921,93939) = 2940948273