What is the Least Common Multiple of 98040 and 98049?

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 98049 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 98049, than apply into the LCM equation.

GCF(98040,98049) = 3
LCM(98040,98049) = ( 98040 × 98049) / 3
LCM(98040,98049) = 9612723960 / 3
LCM(98040,98049) = 3204241320

Least Common Multiple (LCM) of 98040 and 98049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98040 and 98049. First we will calculate the prime factors of 98040 and 98049.

Prime Factorization of 98040

Prime Factorization of 98049

Now multiplying the highest exponent prime factors to calculate the LCM of 98040 and 98049.

LCM(98040,98049) = 2³ × 3¹ × 5¹ × 19¹ × 43¹ × 7² × 23¹ × 29¹
LCM(98040,98049) = 3204241320