What is the Least Common Multiple of 63748 and 63766?

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 63748 and 63766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63748 and 63766, than apply into the LCM equation.

GCF(63748,63766) = 2
LCM(63748,63766) = ( 63748 × 63766) / 2
LCM(63748,63766) = 4064954968 / 2
LCM(63748,63766) = 2032477484

Least Common Multiple (LCM) of 63748 and 63766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63748 and 63766. First we will calculate the prime factors of 63748 and 63766.

Prime Factorization of 63748

Prime Factorization of 63766

Now multiplying the highest exponent prime factors to calculate the LCM of 63748 and 63766.

LCM(63748,63766) = 2² × 15937¹ × 31883¹
LCM(63748,63766) = 2032477484