What is the Least Common Multiple of 89970 and 89985?

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 89970 and 89985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89970 and 89985, than apply into the LCM equation.

GCF(89970,89985) = 15
LCM(89970,89985) = ( 89970 × 89985) / 15
LCM(89970,89985) = 8095950450 / 15
LCM(89970,89985) = 539730030

Least Common Multiple (LCM) of 89970 and 89985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89970 and 89985. First we will calculate the prime factors of 89970 and 89985.

Prime Factorization of 89970

Prime Factorization of 89985

Now multiplying the highest exponent prime factors to calculate the LCM of 89970 and 89985.

LCM(89970,89985) = 2¹ × 3¹ × 5¹ × 2999¹ × 7¹ × 857¹
LCM(89970,89985) = 539730030