What is the Least Common Multiple of 25015 and 25035?

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 25015 and 25035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25015 and 25035, than apply into the LCM equation.

GCF(25015,25035) = 5
LCM(25015,25035) = ( 25015 × 25035) / 5
LCM(25015,25035) = 626250525 / 5
LCM(25015,25035) = 125250105

Least Common Multiple (LCM) of 25015 and 25035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25015 and 25035. First we will calculate the prime factors of 25015 and 25035.

Prime Factorization of 25015

Prime Factorization of 25035

Now multiplying the highest exponent prime factors to calculate the LCM of 25015 and 25035.

LCM(25015,25035) = 5¹ × 5003¹ × 3¹ × 1669¹
LCM(25015,25035) = 125250105