What is the Least Common Multiple of 63537 and 63541?

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 63537 and 63541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63537 and 63541, than apply into the LCM equation.

GCF(63537,63541) = 1
LCM(63537,63541) = ( 63537 × 63541) / 1
LCM(63537,63541) = 4037204517 / 1
LCM(63537,63541) = 4037204517

Least Common Multiple (LCM) of 63537 and 63541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63537 and 63541. First we will calculate the prime factors of 63537 and 63541.

Prime Factorization of 63537

Prime Factorization of 63541

Now multiplying the highest exponent prime factors to calculate the LCM of 63537 and 63541.

LCM(63537,63541) = 3¹ × 21179¹ × 63541¹
LCM(63537,63541) = 4037204517