What is the Least Common Multiple of 62763 and 62781?

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 62781 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 62781, than apply into the LCM equation.

GCF(62763,62781) = 3
LCM(62763,62781) = ( 62763 × 62781) / 3
LCM(62763,62781) = 3940323903 / 3
LCM(62763,62781) = 1313441301

Least Common Multiple (LCM) of 62763 and 62781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62763 and 62781. First we will calculate the prime factors of 62763 and 62781.

Prime Factorization of 62763

Prime Factorization of 62781

Now multiplying the highest exponent prime factors to calculate the LCM of 62763 and 62781.

LCM(62763,62781) = 3¹ × 20921¹ × 17¹ × 1231¹
LCM(62763,62781) = 1313441301