What is the Least Common Multiple of 89050 and 89058?

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 89050 and 89058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89050 and 89058, than apply into the LCM equation.

GCF(89050,89058) = 2
LCM(89050,89058) = ( 89050 × 89058) / 2
LCM(89050,89058) = 7930614900 / 2
LCM(89050,89058) = 3965307450

Least Common Multiple (LCM) of 89050 and 89058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89050 and 89058. First we will calculate the prime factors of 89050 and 89058.

Prime Factorization of 89050

Prime Factorization of 89058

Now multiplying the highest exponent prime factors to calculate the LCM of 89050 and 89058.

LCM(89050,89058) = 2¹ × 5² × 13¹ × 137¹ × 3¹ × 14843¹
LCM(89050,89058) = 3965307450