What is the Least Common Multiple of 62264 and 62270?

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 62264 and 62270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62264 and 62270, than apply into the LCM equation.

GCF(62264,62270) = 2
LCM(62264,62270) = ( 62264 × 62270) / 2
LCM(62264,62270) = 3877179280 / 2
LCM(62264,62270) = 1938589640

Least Common Multiple (LCM) of 62264 and 62270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62264 and 62270. First we will calculate the prime factors of 62264 and 62270.

Prime Factorization of 62264

Prime Factorization of 62270

Now multiplying the highest exponent prime factors to calculate the LCM of 62264 and 62270.

LCM(62264,62270) = 2³ × 43¹ × 181¹ × 5¹ × 13¹ × 479¹
LCM(62264,62270) = 1938589640