What is the Least Common Multiple of 74125 and 74144?

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 74125 and 74144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74125 and 74144, than apply into the LCM equation.

GCF(74125,74144) = 1
LCM(74125,74144) = ( 74125 × 74144) / 1
LCM(74125,74144) = 5495924000 / 1
LCM(74125,74144) = 5495924000

Least Common Multiple (LCM) of 74125 and 74144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74125 and 74144. First we will calculate the prime factors of 74125 and 74144.

Prime Factorization of 74125

Prime Factorization of 74144

Now multiplying the highest exponent prime factors to calculate the LCM of 74125 and 74144.

LCM(74125,74144) = 5³ × 593¹ × 2⁵ × 7¹ × 331¹
LCM(74125,74144) = 5495924000