What is the Least Common Multiple of 98460 and 98475?

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 98460 and 98475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98460 and 98475, than apply into the LCM equation.

GCF(98460,98475) = 15
LCM(98460,98475) = ( 98460 × 98475) / 15
LCM(98460,98475) = 9695848500 / 15
LCM(98460,98475) = 646389900

Least Common Multiple (LCM) of 98460 and 98475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98460 and 98475. First we will calculate the prime factors of 98460 and 98475.

Prime Factorization of 98460

Prime Factorization of 98475

Now multiplying the highest exponent prime factors to calculate the LCM of 98460 and 98475.

LCM(98460,98475) = 2² × 3² × 5² × 547¹ × 13¹ × 101¹
LCM(98460,98475) = 646389900