What is the Least Common Multiple of 25046 and 25060?

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 25046 and 25060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25046 and 25060, than apply into the LCM equation.

GCF(25046,25060) = 14
LCM(25046,25060) = ( 25046 × 25060) / 14
LCM(25046,25060) = 627652760 / 14
LCM(25046,25060) = 44832340

Least Common Multiple (LCM) of 25046 and 25060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25046 and 25060. First we will calculate the prime factors of 25046 and 25060.

Prime Factorization of 25046

Prime Factorization of 25060

Now multiplying the highest exponent prime factors to calculate the LCM of 25046 and 25060.

LCM(25046,25060) = 2² × 7¹ × 1789¹ × 5¹ × 179¹
LCM(25046,25060) = 44832340