What is the Least Common Multiple of 98152 and 98170?

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 98152 and 98170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98152 and 98170, than apply into the LCM equation.

GCF(98152,98170) = 2
LCM(98152,98170) = ( 98152 × 98170) / 2
LCM(98152,98170) = 9635581840 / 2
LCM(98152,98170) = 4817790920

Least Common Multiple (LCM) of 98152 and 98170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98152 and 98170. First we will calculate the prime factors of 98152 and 98170.

Prime Factorization of 98152

Prime Factorization of 98170

Now multiplying the highest exponent prime factors to calculate the LCM of 98152 and 98170.

LCM(98152,98170) = 2³ × 12269¹ × 5¹ × 9817¹
LCM(98152,98170) = 4817790920