What is the Least Common Multiple of 90052 and 90072?

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 90052 and 90072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90052 and 90072, than apply into the LCM equation.

GCF(90052,90072) = 4
LCM(90052,90072) = ( 90052 × 90072) / 4
LCM(90052,90072) = 8111163744 / 4
LCM(90052,90072) = 2027790936

Least Common Multiple (LCM) of 90052 and 90072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90052 and 90072. First we will calculate the prime factors of 90052 and 90072.

Prime Factorization of 90052

Prime Factorization of 90072

Now multiplying the highest exponent prime factors to calculate the LCM of 90052 and 90072.

LCM(90052,90072) = 2³ × 47¹ × 479¹ × 3⁴ × 139¹
LCM(90052,90072) = 2027790936