What is the Least Common Multiple of 98955 and 98970?

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 98955 and 98970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98955 and 98970, than apply into the LCM equation.

GCF(98955,98970) = 15
LCM(98955,98970) = ( 98955 × 98970) / 15
LCM(98955,98970) = 9793576350 / 15
LCM(98955,98970) = 652905090

Least Common Multiple (LCM) of 98955 and 98970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98955 and 98970. First we will calculate the prime factors of 98955 and 98970.

Prime Factorization of 98955

Prime Factorization of 98970

Now multiplying the highest exponent prime factors to calculate the LCM of 98955 and 98970.

LCM(98955,98970) = 3³ × 5¹ × 733¹ × 2¹ × 3299¹
LCM(98955,98970) = 652905090