What is the Least Common Multiple of 63810 and 63816?

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 63810 and 63816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63810 and 63816, than apply into the LCM equation.

GCF(63810,63816) = 6
LCM(63810,63816) = ( 63810 × 63816) / 6
LCM(63810,63816) = 4072098960 / 6
LCM(63810,63816) = 678683160

Least Common Multiple (LCM) of 63810 and 63816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63810 and 63816. First we will calculate the prime factors of 63810 and 63816.

Prime Factorization of 63810

Prime Factorization of 63816

Now multiplying the highest exponent prime factors to calculate the LCM of 63810 and 63816.

LCM(63810,63816) = 2³ × 3² × 5¹ × 709¹ × 2659¹
LCM(63810,63816) = 678683160