What is the Least Common Multiple of 90420 and 90430?

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 90420 and 90430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90420 and 90430, than apply into the LCM equation.

GCF(90420,90430) = 10
LCM(90420,90430) = ( 90420 × 90430) / 10
LCM(90420,90430) = 8176680600 / 10
LCM(90420,90430) = 817668060

Least Common Multiple (LCM) of 90420 and 90430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90420 and 90430. First we will calculate the prime factors of 90420 and 90430.

Prime Factorization of 90420

Prime Factorization of 90430

Now multiplying the highest exponent prime factors to calculate the LCM of 90420 and 90430.

LCM(90420,90430) = 2² × 3¹ × 5¹ × 11¹ × 137¹ × 9043¹
LCM(90420,90430) = 817668060