What is the Least Common Multiple of 98124 and 98139?

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 98124 and 98139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98124 and 98139, than apply into the LCM equation.

GCF(98124,98139) = 3
LCM(98124,98139) = ( 98124 × 98139) / 3
LCM(98124,98139) = 9629791236 / 3
LCM(98124,98139) = 3209930412

Least Common Multiple (LCM) of 98124 and 98139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98124 and 98139. First we will calculate the prime factors of 98124 and 98139.

Prime Factorization of 98124

Prime Factorization of 98139

Now multiplying the highest exponent prime factors to calculate the LCM of 98124 and 98139.

LCM(98124,98139) = 2² × 3¹ × 13¹ × 17¹ × 37¹ × 32713¹
LCM(98124,98139) = 3209930412