What is the Least Common Multiple of 90714 and 90729?

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 90714 and 90729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90714 and 90729, than apply into the LCM equation.

GCF(90714,90729) = 3
LCM(90714,90729) = ( 90714 × 90729) / 3
LCM(90714,90729) = 8230390506 / 3
LCM(90714,90729) = 2743463502

Least Common Multiple (LCM) of 90714 and 90729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90714 and 90729. First we will calculate the prime factors of 90714 and 90729.

Prime Factorization of 90714

Prime Factorization of 90729

Now multiplying the highest exponent prime factors to calculate the LCM of 90714 and 90729.

LCM(90714,90729) = 2¹ × 3² × 13¹ × 1163¹ × 17¹ × 593¹
LCM(90714,90729) = 2743463502