What is the Least Common Multiple of 63659 and 63677?

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 63659 and 63677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63659 and 63677, than apply into the LCM equation.

GCF(63659,63677) = 1
LCM(63659,63677) = ( 63659 × 63677) / 1
LCM(63659,63677) = 4053614143 / 1
LCM(63659,63677) = 4053614143

Least Common Multiple (LCM) of 63659 and 63677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63659 and 63677. First we will calculate the prime factors of 63659 and 63677.

Prime Factorization of 63659

Prime Factorization of 63677

Now multiplying the highest exponent prime factors to calculate the LCM of 63659 and 63677.

LCM(63659,63677) = 63659¹ × 37¹ × 1721¹
LCM(63659,63677) = 4053614143