What is the Least Common Multiple of 98852 and 98870?

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 98852 and 98870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98852 and 98870, than apply into the LCM equation.

GCF(98852,98870) = 2
LCM(98852,98870) = ( 98852 × 98870) / 2
LCM(98852,98870) = 9773497240 / 2
LCM(98852,98870) = 4886748620

Least Common Multiple (LCM) of 98852 and 98870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98852 and 98870. First we will calculate the prime factors of 98852 and 98870.

Prime Factorization of 98852

Prime Factorization of 98870

Now multiplying the highest exponent prime factors to calculate the LCM of 98852 and 98870.

LCM(98852,98870) = 2² × 13¹ × 1901¹ × 5¹ × 9887¹
LCM(98852,98870) = 4886748620