What is the Least Common Multiple of 62734 and 62752?

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 62734 and 62752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62734 and 62752, than apply into the LCM equation.

GCF(62734,62752) = 2
LCM(62734,62752) = ( 62734 × 62752) / 2
LCM(62734,62752) = 3936683968 / 2
LCM(62734,62752) = 1968341984

Least Common Multiple (LCM) of 62734 and 62752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62734 and 62752. First we will calculate the prime factors of 62734 and 62752.

Prime Factorization of 62734

Prime Factorization of 62752

Now multiplying the highest exponent prime factors to calculate the LCM of 62734 and 62752.

LCM(62734,62752) = 2⁵ × 7¹ × 4481¹ × 37¹ × 53¹
LCM(62734,62752) = 1968341984