What is the Least Common Multiple of 62752 and 62764?

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 62752 and 62764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62752 and 62764, than apply into the LCM equation.

GCF(62752,62764) = 4
LCM(62752,62764) = ( 62752 × 62764) / 4
LCM(62752,62764) = 3938566528 / 4
LCM(62752,62764) = 984641632

Least Common Multiple (LCM) of 62752 and 62764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62752 and 62764. First we will calculate the prime factors of 62752 and 62764.

Prime Factorization of 62752

Prime Factorization of 62764

Now multiplying the highest exponent prime factors to calculate the LCM of 62752 and 62764.

LCM(62752,62764) = 2⁵ × 37¹ × 53¹ × 13¹ × 17¹ × 71¹
LCM(62752,62764) = 984641632