What is the Least Common Multiple of 98629 and 98648?

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 98629 and 98648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98629 and 98648, than apply into the LCM equation.

GCF(98629,98648) = 19
LCM(98629,98648) = ( 98629 × 98648) / 19
LCM(98629,98648) = 9729553592 / 19
LCM(98629,98648) = 512081768

Least Common Multiple (LCM) of 98629 and 98648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98629 and 98648. First we will calculate the prime factors of 98629 and 98648.

Prime Factorization of 98629

Prime Factorization of 98648

Now multiplying the highest exponent prime factors to calculate the LCM of 98629 and 98648.

LCM(98629,98648) = 19¹ × 29¹ × 179¹ × 2³ × 11¹ × 59¹
LCM(98629,98648) = 512081768