What is the Least Common Multiple of 98110 and 98115?

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 98110 and 98115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98110 and 98115, than apply into the LCM equation.

GCF(98110,98115) = 5
LCM(98110,98115) = ( 98110 × 98115) / 5
LCM(98110,98115) = 9626062650 / 5
LCM(98110,98115) = 1925212530

Least Common Multiple (LCM) of 98110 and 98115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98110 and 98115. First we will calculate the prime factors of 98110 and 98115.

Prime Factorization of 98110

Prime Factorization of 98115

Now multiplying the highest exponent prime factors to calculate the LCM of 98110 and 98115.

LCM(98110,98115) = 2¹ × 5¹ × 9811¹ × 3¹ × 31¹ × 211¹
LCM(98110,98115) = 1925212530