What is the Least Common Multiple of 98750 and 98758?

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 98758 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 98758, than apply into the LCM equation.

GCF(98750,98758) = 2
LCM(98750,98758) = ( 98750 × 98758) / 2
LCM(98750,98758) = 9752352500 / 2
LCM(98750,98758) = 4876176250

Least Common Multiple (LCM) of 98750 and 98758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98750 and 98758. First we will calculate the prime factors of 98750 and 98758.

Prime Factorization of 98750

Prime Factorization of 98758

Now multiplying the highest exponent prime factors to calculate the LCM of 98750 and 98758.

LCM(98750,98758) = 2¹ × 5⁴ × 79¹ × 11¹ × 67²
LCM(98750,98758) = 4876176250