What is the Least Common Multiple of 89050 and 89063?

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 89063 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 89063, than apply into the LCM equation.

GCF(89050,89063) = 13
LCM(89050,89063) = ( 89050 × 89063) / 13
LCM(89050,89063) = 7931060150 / 13
LCM(89050,89063) = 610081550

Least Common Multiple (LCM) of 89050 and 89063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89050 and 89063. First we will calculate the prime factors of 89050 and 89063.

Prime Factorization of 89050

Prime Factorization of 89063

Now multiplying the highest exponent prime factors to calculate the LCM of 89050 and 89063.

LCM(89050,89063) = 2¹ × 5² × 13² × 137¹ × 17¹ × 31¹
LCM(89050,89063) = 610081550