What is the Least Common Multiple of 62256 and 62273?

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 62256 and 62273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62256 and 62273, than apply into the LCM equation.

GCF(62256,62273) = 1
LCM(62256,62273) = ( 62256 × 62273) / 1
LCM(62256,62273) = 3876867888 / 1
LCM(62256,62273) = 3876867888

Least Common Multiple (LCM) of 62256 and 62273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62256 and 62273. First we will calculate the prime factors of 62256 and 62273.

Prime Factorization of 62256

Prime Factorization of 62273

Now multiplying the highest exponent prime factors to calculate the LCM of 62256 and 62273.

LCM(62256,62273) = 2⁴ × 3¹ × 1297¹ × 62273¹
LCM(62256,62273) = 3876867888