What is the Least Common Multiple of 62304 and 62308?

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 62304 and 62308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62304 and 62308, than apply into the LCM equation.

GCF(62304,62308) = 4
LCM(62304,62308) = ( 62304 × 62308) / 4
LCM(62304,62308) = 3882037632 / 4
LCM(62304,62308) = 970509408

Least Common Multiple (LCM) of 62304 and 62308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62304 and 62308. First we will calculate the prime factors of 62304 and 62308.

Prime Factorization of 62304

Prime Factorization of 62308

Now multiplying the highest exponent prime factors to calculate the LCM of 62304 and 62308.

LCM(62304,62308) = 2⁵ × 3¹ × 11¹ × 59¹ × 37¹ × 421¹
LCM(62304,62308) = 970509408