What is the Least Common Multiple of 25020 and 25030?

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 25030 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 25030, than apply into the LCM equation.

GCF(25020,25030) = 10
LCM(25020,25030) = ( 25020 × 25030) / 10
LCM(25020,25030) = 626250600 / 10
LCM(25020,25030) = 62625060

Least Common Multiple (LCM) of 25020 and 25030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25020 and 25030. First we will calculate the prime factors of 25020 and 25030.

Prime Factorization of 25020

Prime Factorization of 25030

Now multiplying the highest exponent prime factors to calculate the LCM of 25020 and 25030.

LCM(25020,25030) = 2² × 3² × 5¹ × 139¹ × 2503¹
LCM(25020,25030) = 62625060