What is the Least Common Multiple of 98520 and 98528?

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 98520 and 98528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98520 and 98528, than apply into the LCM equation.

GCF(98520,98528) = 8
LCM(98520,98528) = ( 98520 × 98528) / 8
LCM(98520,98528) = 9706978560 / 8
LCM(98520,98528) = 1213372320

Least Common Multiple (LCM) of 98520 and 98528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98520 and 98528. First we will calculate the prime factors of 98520 and 98528.

Prime Factorization of 98520

Prime Factorization of 98528

Now multiplying the highest exponent prime factors to calculate the LCM of 98520 and 98528.

LCM(98520,98528) = 2⁵ × 3¹ × 5¹ × 821¹ × 3079¹
LCM(98520,98528) = 1213372320