What is the Least Common Multiple of 98150 and 98167?

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 98150 and 98167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98150 and 98167, than apply into the LCM equation.

GCF(98150,98167) = 1
LCM(98150,98167) = ( 98150 × 98167) / 1
LCM(98150,98167) = 9635091050 / 1
LCM(98150,98167) = 9635091050

Least Common Multiple (LCM) of 98150 and 98167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98150 and 98167. First we will calculate the prime factors of 98150 and 98167.

Prime Factorization of 98150

Prime Factorization of 98167

Now multiplying the highest exponent prime factors to calculate the LCM of 98150 and 98167.

LCM(98150,98167) = 2¹ × 5² × 13¹ × 151¹ × 89¹ × 1103¹
LCM(98150,98167) = 9635091050