What is the Least Common Multiple of 98130 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 98130 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 98130 and 98142, than apply into the LCM equation.

GCF(98130,98142) = 6
LCM(98130,98142) = ( 98130 × 98142) / 6
LCM(98130,98142) = 9630674460 / 6
LCM(98130,98142) = 1605112410

Least Common Multiple (LCM) of 98130 and 98142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98130 and 98142. First we will calculate the prime factors of 98130 and 98142.

Prime Factorization of 98130

Prime Factorization of 98142

Now multiplying the highest exponent prime factors to calculate the LCM of 98130 and 98142.

LCM(98130,98142) = 2¹ × 3¹ × 5¹ × 3271¹ × 11¹ × 1487¹
LCM(98130,98142) = 1605112410