What is the Least Common Multiple of 98135 and 98142?

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 98135 and 98142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98135 and 98142, than apply into the LCM equation.

GCF(98135,98142) = 1
LCM(98135,98142) = ( 98135 × 98142) / 1
LCM(98135,98142) = 9631165170 / 1
LCM(98135,98142) = 9631165170

Least Common Multiple (LCM) of 98135 and 98142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98135 and 98142. First we will calculate the prime factors of 98135 and 98142.

Prime Factorization of 98135

Prime Factorization of 98142

Now multiplying the highest exponent prime factors to calculate the LCM of 98135 and 98142.

LCM(98135,98142) = 5¹ × 19¹ × 1033¹ × 2¹ × 3¹ × 11¹ × 1487¹
LCM(98135,98142) = 9631165170