What is the Least Common Multiple of 98250 and 98268?

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 98250 and 98268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98250 and 98268, than apply into the LCM equation.

GCF(98250,98268) = 6
LCM(98250,98268) = ( 98250 × 98268) / 6
LCM(98250,98268) = 9654831000 / 6
LCM(98250,98268) = 1609138500

Least Common Multiple (LCM) of 98250 and 98268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98250 and 98268. First we will calculate the prime factors of 98250 and 98268.

Prime Factorization of 98250

Prime Factorization of 98268

Now multiplying the highest exponent prime factors to calculate the LCM of 98250 and 98268.

LCM(98250,98268) = 2² × 3¹ × 5³ × 131¹ × 19¹ × 431¹
LCM(98250,98268) = 1609138500