What is the Least Common Multiple of 62416 and 62436?

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 62416 and 62436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62416 and 62436, than apply into the LCM equation.

GCF(62416,62436) = 4
LCM(62416,62436) = ( 62416 × 62436) / 4
LCM(62416,62436) = 3897005376 / 4
LCM(62416,62436) = 974251344

Least Common Multiple (LCM) of 62416 and 62436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62416 and 62436. First we will calculate the prime factors of 62416 and 62436.

Prime Factorization of 62416

Prime Factorization of 62436

Now multiplying the highest exponent prime factors to calculate the LCM of 62416 and 62436.

LCM(62416,62436) = 2⁴ × 47¹ × 83¹ × 3¹ × 11² × 43¹
LCM(62416,62436) = 974251344