What is the Least Common Multiple of 89030 and 89050?

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 89030 and 89050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89030 and 89050, than apply into the LCM equation.

GCF(89030,89050) = 10
LCM(89030,89050) = ( 89030 × 89050) / 10
LCM(89030,89050) = 7928121500 / 10
LCM(89030,89050) = 792812150

Least Common Multiple (LCM) of 89030 and 89050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89030 and 89050. First we will calculate the prime factors of 89030 and 89050.

Prime Factorization of 89030

Prime Factorization of 89050

Now multiplying the highest exponent prime factors to calculate the LCM of 89030 and 89050.

LCM(89030,89050) = 2¹ × 5² × 29¹ × 307¹ × 13¹ × 137¹
LCM(89030,89050) = 792812150