What is the Least Common Multiple of 98070 and 98088?

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 98070 and 98088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98070 and 98088, than apply into the LCM equation.

GCF(98070,98088) = 6
LCM(98070,98088) = ( 98070 × 98088) / 6
LCM(98070,98088) = 9619490160 / 6
LCM(98070,98088) = 1603248360

Least Common Multiple (LCM) of 98070 and 98088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98070 and 98088. First we will calculate the prime factors of 98070 and 98088.

Prime Factorization of 98070

Prime Factorization of 98088

Now multiplying the highest exponent prime factors to calculate the LCM of 98070 and 98088.

LCM(98070,98088) = 2³ × 3¹ × 5¹ × 7¹ × 467¹ × 61¹ × 67¹
LCM(98070,98088) = 1603248360