What is the Least Common Multiple of 98044 and 98064?

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 98044 and 98064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98044 and 98064, than apply into the LCM equation.

GCF(98044,98064) = 4
LCM(98044,98064) = ( 98044 × 98064) / 4
LCM(98044,98064) = 9614586816 / 4
LCM(98044,98064) = 2403646704

Least Common Multiple (LCM) of 98044 and 98064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98044 and 98064. First we will calculate the prime factors of 98044 and 98064.

Prime Factorization of 98044

Prime Factorization of 98064

Now multiplying the highest exponent prime factors to calculate the LCM of 98044 and 98064.

LCM(98044,98064) = 2⁴ × 127¹ × 193¹ × 3³ × 227¹
LCM(98044,98064) = 2403646704