What is the Least Common Multiple of 99040 and 99060?

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 99060 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 99060, than apply into the LCM equation.

GCF(99040,99060) = 20
LCM(99040,99060) = ( 99040 × 99060) / 20
LCM(99040,99060) = 9810902400 / 20
LCM(99040,99060) = 490545120

Least Common Multiple (LCM) of 99040 and 99060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99040 and 99060. First we will calculate the prime factors of 99040 and 99060.

Prime Factorization of 99040

Prime Factorization of 99060

Now multiplying the highest exponent prime factors to calculate the LCM of 99040 and 99060.

LCM(99040,99060) = 2⁵ × 5¹ × 619¹ × 3¹ × 13¹ × 127¹
LCM(99040,99060) = 490545120