What is the Least Common Multiple of 63747 and 63761?

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 63747 and 63761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63747 and 63761, than apply into the LCM equation.

GCF(63747,63761) = 1
LCM(63747,63761) = ( 63747 × 63761) / 1
LCM(63747,63761) = 4064572467 / 1
LCM(63747,63761) = 4064572467

Least Common Multiple (LCM) of 63747 and 63761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63747 and 63761. First we will calculate the prime factors of 63747 and 63761.

Prime Factorization of 63747

Prime Factorization of 63761

Now multiplying the highest exponent prime factors to calculate the LCM of 63747 and 63761.

LCM(63747,63761) = 3⁴ × 787¹ × 63761¹
LCM(63747,63761) = 4064572467