What is the Least Common Multiple of 96040 and 96060?

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 96040 and 96060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96040 and 96060, than apply into the LCM equation.

GCF(96040,96060) = 20
LCM(96040,96060) = ( 96040 × 96060) / 20
LCM(96040,96060) = 9225602400 / 20
LCM(96040,96060) = 461280120

Least Common Multiple (LCM) of 96040 and 96060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96040 and 96060. First we will calculate the prime factors of 96040 and 96060.

Prime Factorization of 96040

Prime Factorization of 96060

Now multiplying the highest exponent prime factors to calculate the LCM of 96040 and 96060.

LCM(96040,96060) = 2³ × 5¹ × 7⁴ × 3¹ × 1601¹
LCM(96040,96060) = 461280120