What is the Least Common Multiple of 90030 and 90046?

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 90030 and 90046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90030 and 90046, than apply into the LCM equation.

GCF(90030,90046) = 2
LCM(90030,90046) = ( 90030 × 90046) / 2
LCM(90030,90046) = 8106841380 / 2
LCM(90030,90046) = 4053420690

Least Common Multiple (LCM) of 90030 and 90046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90030 and 90046. First we will calculate the prime factors of 90030 and 90046.

Prime Factorization of 90030

Prime Factorization of 90046

Now multiplying the highest exponent prime factors to calculate the LCM of 90030 and 90046.

LCM(90030,90046) = 2¹ × 3¹ × 5¹ × 3001¹ × 11¹ × 4093¹
LCM(90030,90046) = 4053420690