What is the Least Common Multiple of 63795 and 63815?

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 63795 and 63815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63795 and 63815, than apply into the LCM equation.

GCF(63795,63815) = 5
LCM(63795,63815) = ( 63795 × 63815) / 5
LCM(63795,63815) = 4071077925 / 5
LCM(63795,63815) = 814215585

Least Common Multiple (LCM) of 63795 and 63815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63795 and 63815. First we will calculate the prime factors of 63795 and 63815.

Prime Factorization of 63795

Prime Factorization of 63815

Now multiplying the highest exponent prime factors to calculate the LCM of 63795 and 63815.

LCM(63795,63815) = 3¹ × 5¹ × 4253¹ × 12763¹
LCM(63795,63815) = 814215585