What is the Least Common Multiple of 62763 and 62775?

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 62763 and 62775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62763 and 62775, than apply into the LCM equation.

GCF(62763,62775) = 3
LCM(62763,62775) = ( 62763 × 62775) / 3
LCM(62763,62775) = 3939947325 / 3
LCM(62763,62775) = 1313315775

Least Common Multiple (LCM) of 62763 and 62775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62763 and 62775. First we will calculate the prime factors of 62763 and 62775.

Prime Factorization of 62763

Prime Factorization of 62775

Now multiplying the highest exponent prime factors to calculate the LCM of 62763 and 62775.

LCM(62763,62775) = 3⁴ × 20921¹ × 5² × 31¹
LCM(62763,62775) = 1313315775