What is the Least Common Multiple of 98109 and 98124?

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 98109 and 98124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98109 and 98124, than apply into the LCM equation.

GCF(98109,98124) = 3
LCM(98109,98124) = ( 98109 × 98124) / 3
LCM(98109,98124) = 9626847516 / 3
LCM(98109,98124) = 3208949172

Least Common Multiple (LCM) of 98109 and 98124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98109 and 98124. First we will calculate the prime factors of 98109 and 98124.

Prime Factorization of 98109

Prime Factorization of 98124

Now multiplying the highest exponent prime factors to calculate the LCM of 98109 and 98124.

LCM(98109,98124) = 3² × 11¹ × 991¹ × 2² × 13¹ × 17¹ × 37¹
LCM(98109,98124) = 3208949172