What is the Least Common Multiple of 98960 and 98964?

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 98960 and 98964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98960 and 98964, than apply into the LCM equation.

GCF(98960,98964) = 4
LCM(98960,98964) = ( 98960 × 98964) / 4
LCM(98960,98964) = 9793477440 / 4
LCM(98960,98964) = 2448369360

Least Common Multiple (LCM) of 98960 and 98964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98960 and 98964. First we will calculate the prime factors of 98960 and 98964.

Prime Factorization of 98960

Prime Factorization of 98964

Now multiplying the highest exponent prime factors to calculate the LCM of 98960 and 98964.

LCM(98960,98964) = 2⁴ × 5¹ × 1237¹ × 3² × 2749¹
LCM(98960,98964) = 2448369360