What is the Least Common Multiple of 63250 and 63270?

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 63250 and 63270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63250 and 63270, than apply into the LCM equation.

GCF(63250,63270) = 10
LCM(63250,63270) = ( 63250 × 63270) / 10
LCM(63250,63270) = 4001827500 / 10
LCM(63250,63270) = 400182750

Least Common Multiple (LCM) of 63250 and 63270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63250 and 63270. First we will calculate the prime factors of 63250 and 63270.

Prime Factorization of 63250

Prime Factorization of 63270

Now multiplying the highest exponent prime factors to calculate the LCM of 63250 and 63270.

LCM(63250,63270) = 2¹ × 5³ × 11¹ × 23¹ × 3² × 19¹ × 37¹
LCM(63250,63270) = 400182750