What is the Least Common Multiple of 98960 and 98972?

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 98972 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 98972, than apply into the LCM equation.

GCF(98960,98972) = 4
LCM(98960,98972) = ( 98960 × 98972) / 4
LCM(98960,98972) = 9794269120 / 4
LCM(98960,98972) = 2448567280

Least Common Multiple (LCM) of 98960 and 98972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98960 and 98972. First we will calculate the prime factors of 98960 and 98972.

Prime Factorization of 98960

Prime Factorization of 98972

Now multiplying the highest exponent prime factors to calculate the LCM of 98960 and 98972.

LCM(98960,98972) = 2⁴ × 5¹ × 1237¹ × 109¹ × 227¹
LCM(98960,98972) = 2448567280