What is the Least Common Multiple of 93729 and 93749?

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 93729 and 93749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93729 and 93749, than apply into the LCM equation.

GCF(93729,93749) = 1
LCM(93729,93749) = ( 93729 × 93749) / 1
LCM(93729,93749) = 8787000021 / 1
LCM(93729,93749) = 8787000021

Least Common Multiple (LCM) of 93729 and 93749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93729 and 93749. First we will calculate the prime factors of 93729 and 93749.

Prime Factorization of 93729

Prime Factorization of 93749

Now multiplying the highest exponent prime factors to calculate the LCM of 93729 and 93749.

LCM(93729,93749) = 3¹ × 157¹ × 199¹ × 241¹ × 389¹
LCM(93729,93749) = 8787000021