What is the Least Common Multiple of 25350 and 25370?

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 25350 and 25370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25350 and 25370, than apply into the LCM equation.

GCF(25350,25370) = 10
LCM(25350,25370) = ( 25350 × 25370) / 10
LCM(25350,25370) = 643129500 / 10
LCM(25350,25370) = 64312950

Least Common Multiple (LCM) of 25350 and 25370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25350 and 25370. First we will calculate the prime factors of 25350 and 25370.

Prime Factorization of 25350

Prime Factorization of 25370

Now multiplying the highest exponent prime factors to calculate the LCM of 25350 and 25370.

LCM(25350,25370) = 2¹ × 3¹ × 5² × 13² × 43¹ × 59¹
LCM(25350,25370) = 64312950