What is the Least Common Multiple of 62289 and 62304?

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 62289 and 62304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62289 and 62304, than apply into the LCM equation.

GCF(62289,62304) = 3
LCM(62289,62304) = ( 62289 × 62304) / 3
LCM(62289,62304) = 3880853856 / 3
LCM(62289,62304) = 1293617952

Least Common Multiple (LCM) of 62289 and 62304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62289 and 62304. First we will calculate the prime factors of 62289 and 62304.

Prime Factorization of 62289

Prime Factorization of 62304

Now multiplying the highest exponent prime factors to calculate the LCM of 62289 and 62304.

LCM(62289,62304) = 3⁴ × 769¹ × 2⁵ × 11¹ × 59¹
LCM(62289,62304) = 1293617952