What is the Least Common Multiple of 98040 and 98045?

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 98040 and 98045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98040 and 98045, than apply into the LCM equation.

GCF(98040,98045) = 5
LCM(98040,98045) = ( 98040 × 98045) / 5
LCM(98040,98045) = 9612331800 / 5
LCM(98040,98045) = 1922466360

Least Common Multiple (LCM) of 98040 and 98045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98040 and 98045. First we will calculate the prime factors of 98040 and 98045.

Prime Factorization of 98040

Prime Factorization of 98045

Now multiplying the highest exponent prime factors to calculate the LCM of 98040 and 98045.

LCM(98040,98045) = 2³ × 3¹ × 5¹ × 19¹ × 43¹ × 19609¹
LCM(98040,98045) = 1922466360