What is the Least Common Multiple of 63753 and 63773?

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 63753 and 63773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63753 and 63773, than apply into the LCM equation.

GCF(63753,63773) = 1
LCM(63753,63773) = ( 63753 × 63773) / 1
LCM(63753,63773) = 4065720069 / 1
LCM(63753,63773) = 4065720069

Least Common Multiple (LCM) of 63753 and 63773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63753 and 63773. First we will calculate the prime factors of 63753 and 63773.

Prime Factorization of 63753

Prime Factorization of 63773

Now multiplying the highest exponent prime factors to calculate the LCM of 63753 and 63773.

LCM(63753,63773) = 3¹ × 79¹ × 269¹ × 63773¹
LCM(63753,63773) = 4065720069