What is the Least Common Multiple of 74254 and 74260?

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 74254 and 74260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74254 and 74260, than apply into the LCM equation.

GCF(74254,74260) = 2
LCM(74254,74260) = ( 74254 × 74260) / 2
LCM(74254,74260) = 5514102040 / 2
LCM(74254,74260) = 2757051020

Least Common Multiple (LCM) of 74254 and 74260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74254 and 74260. First we will calculate the prime factors of 74254 and 74260.

Prime Factorization of 74254

Prime Factorization of 74260

Now multiplying the highest exponent prime factors to calculate the LCM of 74254 and 74260.

LCM(74254,74260) = 2² × 137¹ × 271¹ × 5¹ × 47¹ × 79¹
LCM(74254,74260) = 2757051020