What is the Least Common Multiple of 98474 and 98489?

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 98474 and 98489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98474 and 98489, than apply into the LCM equation.

GCF(98474,98489) = 1
LCM(98474,98489) = ( 98474 × 98489) / 1
LCM(98474,98489) = 9698605786 / 1
LCM(98474,98489) = 9698605786

Least Common Multiple (LCM) of 98474 and 98489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98474 and 98489. First we will calculate the prime factors of 98474 and 98489.

Prime Factorization of 98474

Prime Factorization of 98489

Now multiplying the highest exponent prime factors to calculate the LCM of 98474 and 98489.

LCM(98474,98489) = 2¹ × 53¹ × 929¹ × 149¹ × 661¹
LCM(98474,98489) = 9698605786