What is the Least Common Multiple of 98035 and 98040?

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 98035 and 98040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98035 and 98040, than apply into the LCM equation.

GCF(98035,98040) = 5
LCM(98035,98040) = ( 98035 × 98040) / 5
LCM(98035,98040) = 9611351400 / 5
LCM(98035,98040) = 1922270280

Least Common Multiple (LCM) of 98035 and 98040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98035 and 98040. First we will calculate the prime factors of 98035 and 98040.

Prime Factorization of 98035

Prime Factorization of 98040

Now multiplying the highest exponent prime factors to calculate the LCM of 98035 and 98040.

LCM(98035,98040) = 5¹ × 7¹ × 2801¹ × 2³ × 3¹ × 19¹ × 43¹
LCM(98035,98040) = 1922270280