What is the Least Common Multiple of 89729 and 89742?

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 89729 and 89742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89729 and 89742, than apply into the LCM equation.

GCF(89729,89742) = 1
LCM(89729,89742) = ( 89729 × 89742) / 1
LCM(89729,89742) = 8052459918 / 1
LCM(89729,89742) = 8052459918

Least Common Multiple (LCM) of 89729 and 89742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89729 and 89742. First we will calculate the prime factors of 89729 and 89742.

Prime Factorization of 89729

Prime Factorization of 89742

Now multiplying the highest exponent prime factors to calculate the LCM of 89729 and 89742.

LCM(89729,89742) = 53¹ × 1693¹ × 2¹ × 3¹ × 14957¹
LCM(89729,89742) = 8052459918