What is the Least Common Multiple of 25020 and 25034?

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 25020 and 25034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25020 and 25034, than apply into the LCM equation.

GCF(25020,25034) = 2
LCM(25020,25034) = ( 25020 × 25034) / 2
LCM(25020,25034) = 626350680 / 2
LCM(25020,25034) = 313175340

Least Common Multiple (LCM) of 25020 and 25034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25020 and 25034. First we will calculate the prime factors of 25020 and 25034.

Prime Factorization of 25020

Prime Factorization of 25034

Now multiplying the highest exponent prime factors to calculate the LCM of 25020 and 25034.

LCM(25020,25034) = 2² × 3² × 5¹ × 139¹ × 12517¹
LCM(25020,25034) = 313175340