What is the Least Common Multiple of 98750 and 98762?

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 98762 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 98762, than apply into the LCM equation.

GCF(98750,98762) = 2
LCM(98750,98762) = ( 98750 × 98762) / 2
LCM(98750,98762) = 9752747500 / 2
LCM(98750,98762) = 4876373750

Least Common Multiple (LCM) of 98750 and 98762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98750 and 98762. First we will calculate the prime factors of 98750 and 98762.

Prime Factorization of 98750

Prime Factorization of 98762

Now multiplying the highest exponent prime factors to calculate the LCM of 98750 and 98762.

LCM(98750,98762) = 2¹ × 5⁴ × 79¹ × 19¹ × 23¹ × 113¹
LCM(98750,98762) = 4876373750