What is the Least Common Multiple of 98115 and 98120?

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 98115 and 98120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98115 and 98120, than apply into the LCM equation.

GCF(98115,98120) = 5
LCM(98115,98120) = ( 98115 × 98120) / 5
LCM(98115,98120) = 9627043800 / 5
LCM(98115,98120) = 1925408760

Least Common Multiple (LCM) of 98115 and 98120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98115 and 98120. First we will calculate the prime factors of 98115 and 98120.

Prime Factorization of 98115

Prime Factorization of 98120

Now multiplying the highest exponent prime factors to calculate the LCM of 98115 and 98120.

LCM(98115,98120) = 3¹ × 5¹ × 31¹ × 211¹ × 2³ × 11¹ × 223¹
LCM(98115,98120) = 1925408760