What is the Least Common Multiple of 63768 and 63784?

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 63768 and 63784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63768 and 63784, than apply into the LCM equation.

GCF(63768,63784) = 8
LCM(63768,63784) = ( 63768 × 63784) / 8
LCM(63768,63784) = 4067378112 / 8
LCM(63768,63784) = 508422264

Least Common Multiple (LCM) of 63768 and 63784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63768 and 63784. First we will calculate the prime factors of 63768 and 63784.

Prime Factorization of 63768

Prime Factorization of 63784

Now multiplying the highest exponent prime factors to calculate the LCM of 63768 and 63784.

LCM(63768,63784) = 2³ × 3¹ × 2657¹ × 7¹ × 17¹ × 67¹
LCM(63768,63784) = 508422264