What is the Least Common Multiple of 98610 and 98629?

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 98610 and 98629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98610 and 98629, than apply into the LCM equation.

GCF(98610,98629) = 19
LCM(98610,98629) = ( 98610 × 98629) / 19
LCM(98610,98629) = 9725805690 / 19
LCM(98610,98629) = 511884510

Least Common Multiple (LCM) of 98610 and 98629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98610 and 98629. First we will calculate the prime factors of 98610 and 98629.

Prime Factorization of 98610

Prime Factorization of 98629

Now multiplying the highest exponent prime factors to calculate the LCM of 98610 and 98629.

LCM(98610,98629) = 2¹ × 3¹ × 5¹ × 19¹ × 173¹ × 29¹ × 179¹
LCM(98610,98629) = 511884510