What is the Least Common Multiple of 25250 and 25270?

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 25250 and 25270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25250 and 25270, than apply into the LCM equation.

GCF(25250,25270) = 10
LCM(25250,25270) = ( 25250 × 25270) / 10
LCM(25250,25270) = 638067500 / 10
LCM(25250,25270) = 63806750

Least Common Multiple (LCM) of 25250 and 25270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25250 and 25270. First we will calculate the prime factors of 25250 and 25270.

Prime Factorization of 25250

Prime Factorization of 25270

Now multiplying the highest exponent prime factors to calculate the LCM of 25250 and 25270.

LCM(25250,25270) = 2¹ × 5³ × 101¹ × 7¹ × 19²
LCM(25250,25270) = 63806750