What is the Least Common Multiple of 98750 and 98754?

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 98750 and 98754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98750 and 98754, than apply into the LCM equation.

GCF(98750,98754) = 2
LCM(98750,98754) = ( 98750 × 98754) / 2
LCM(98750,98754) = 9751957500 / 2
LCM(98750,98754) = 4875978750

Least Common Multiple (LCM) of 98750 and 98754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98750 and 98754. First we will calculate the prime factors of 98750 and 98754.

Prime Factorization of 98750

Prime Factorization of 98754

Now multiplying the highest exponent prime factors to calculate the LCM of 98750 and 98754.

LCM(98750,98754) = 2¹ × 5⁴ × 79¹ × 3¹ × 109¹ × 151¹
LCM(98750,98754) = 4875978750