What is the Least Common Multiple of 99040 and 99049?

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 99040 and 99049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99040 and 99049, than apply into the LCM equation.

GCF(99040,99049) = 1
LCM(99040,99049) = ( 99040 × 99049) / 1
LCM(99040,99049) = 9809812960 / 1
LCM(99040,99049) = 9809812960

Least Common Multiple (LCM) of 99040 and 99049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99040 and 99049. First we will calculate the prime factors of 99040 and 99049.

Prime Factorization of 99040

Prime Factorization of 99049

Now multiplying the highest exponent prime factors to calculate the LCM of 99040 and 99049.

LCM(99040,99049) = 2⁵ × 5¹ × 619¹ × 37¹ × 2677¹
LCM(99040,99049) = 9809812960