What is the Least Common Multiple of 62764 and 62772?

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 62764 and 62772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62764 and 62772, than apply into the LCM equation.

GCF(62764,62772) = 4
LCM(62764,62772) = ( 62764 × 62772) / 4
LCM(62764,62772) = 3939821808 / 4
LCM(62764,62772) = 984955452

Least Common Multiple (LCM) of 62764 and 62772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62764 and 62772. First we will calculate the prime factors of 62764 and 62772.

Prime Factorization of 62764

Prime Factorization of 62772

Now multiplying the highest exponent prime factors to calculate the LCM of 62764 and 62772.

LCM(62764,62772) = 2² × 13¹ × 17¹ × 71¹ × 3¹ × 5231¹
LCM(62764,62772) = 984955452