What is the Least Common Multiple of 63816 and 63826?

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 63816 and 63826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63816 and 63826, than apply into the LCM equation.

GCF(63816,63826) = 2
LCM(63816,63826) = ( 63816 × 63826) / 2
LCM(63816,63826) = 4073120016 / 2
LCM(63816,63826) = 2036560008

Least Common Multiple (LCM) of 63816 and 63826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63816 and 63826. First we will calculate the prime factors of 63816 and 63826.

Prime Factorization of 63816

Prime Factorization of 63826

Now multiplying the highest exponent prime factors to calculate the LCM of 63816 and 63826.

LCM(63816,63826) = 2³ × 3¹ × 2659¹ × 7¹ × 47¹ × 97¹
LCM(63816,63826) = 2036560008