What is the Least Common Multiple of 98475 and 98492?

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 98475 and 98492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98475 and 98492, than apply into the LCM equation.

GCF(98475,98492) = 1
LCM(98475,98492) = ( 98475 × 98492) / 1
LCM(98475,98492) = 9698999700 / 1
LCM(98475,98492) = 9698999700

Least Common Multiple (LCM) of 98475 and 98492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98475 and 98492. First we will calculate the prime factors of 98475 and 98492.

Prime Factorization of 98475

Prime Factorization of 98492

Now multiplying the highest exponent prime factors to calculate the LCM of 98475 and 98492.

LCM(98475,98492) = 3¹ × 5² × 13¹ × 101¹ × 2² × 24623¹
LCM(98475,98492) = 9698999700