What is the Least Common Multiple of 62924 and 62944?

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 62924 and 62944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62924 and 62944, than apply into the LCM equation.

GCF(62924,62944) = 4
LCM(62924,62944) = ( 62924 × 62944) / 4
LCM(62924,62944) = 3960688256 / 4
LCM(62924,62944) = 990172064

Least Common Multiple (LCM) of 62924 and 62944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62924 and 62944. First we will calculate the prime factors of 62924 and 62944.

Prime Factorization of 62924

Prime Factorization of 62944

Now multiplying the highest exponent prime factors to calculate the LCM of 62924 and 62944.

LCM(62924,62944) = 2⁵ × 15731¹ × 7¹ × 281¹
LCM(62924,62944) = 990172064