What is the Least Common Multiple of 63894 and 63905?

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 63894 and 63905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63894 and 63905, than apply into the LCM equation.

GCF(63894,63905) = 1
LCM(63894,63905) = ( 63894 × 63905) / 1
LCM(63894,63905) = 4083146070 / 1
LCM(63894,63905) = 4083146070

Least Common Multiple (LCM) of 63894 and 63905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63894 and 63905. First we will calculate the prime factors of 63894 and 63905.

Prime Factorization of 63894

Prime Factorization of 63905

Now multiplying the highest exponent prime factors to calculate the LCM of 63894 and 63905.

LCM(63894,63905) = 2¹ × 3¹ × 23¹ × 463¹ × 5¹ × 12781¹
LCM(63894,63905) = 4083146070