What is the Least Common Multiple of 63773 and 63788?

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 63773 and 63788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63773 and 63788, than apply into the LCM equation.

GCF(63773,63788) = 1
LCM(63773,63788) = ( 63773 × 63788) / 1
LCM(63773,63788) = 4067952124 / 1
LCM(63773,63788) = 4067952124

Least Common Multiple (LCM) of 63773 and 63788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63773 and 63788. First we will calculate the prime factors of 63773 and 63788.

Prime Factorization of 63773

Prime Factorization of 63788

Now multiplying the highest exponent prime factors to calculate the LCM of 63773 and 63788.

LCM(63773,63788) = 63773¹ × 2² × 37¹ × 431¹
LCM(63773,63788) = 4067952124