What is the Least Common Multiple of 63261 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 63261 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 63261 and 63270, than apply into the LCM equation.

GCF(63261,63270) = 9
LCM(63261,63270) = ( 63261 × 63270) / 9
LCM(63261,63270) = 4002523470 / 9
LCM(63261,63270) = 444724830

Least Common Multiple (LCM) of 63261 and 63270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63261 and 63270. First we will calculate the prime factors of 63261 and 63270.

Prime Factorization of 63261

Prime Factorization of 63270

Now multiplying the highest exponent prime factors to calculate the LCM of 63261 and 63270.

LCM(63261,63270) = 3⁴ × 11¹ × 71¹ × 2¹ × 5¹ × 19¹ × 37¹
LCM(63261,63270) = 444724830