What is the Least Common Multiple of 63657 and 63673?

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 63657 and 63673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63657 and 63673, than apply into the LCM equation.

GCF(63657,63673) = 1
LCM(63657,63673) = ( 63657 × 63673) / 1
LCM(63657,63673) = 4053232161 / 1
LCM(63657,63673) = 4053232161

Least Common Multiple (LCM) of 63657 and 63673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63657 and 63673. First we will calculate the prime factors of 63657 and 63673.

Prime Factorization of 63657

Prime Factorization of 63673

Now multiplying the highest exponent prime factors to calculate the LCM of 63657 and 63673.

LCM(63657,63673) = 3² × 11¹ × 643¹ × 41¹ × 1553¹
LCM(63657,63673) = 4053232161