What is the Least Common Multiple of 63848 and 63864?

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 63848 and 63864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63848 and 63864, than apply into the LCM equation.

GCF(63848,63864) = 8
LCM(63848,63864) = ( 63848 × 63864) / 8
LCM(63848,63864) = 4077588672 / 8
LCM(63848,63864) = 509698584

Least Common Multiple (LCM) of 63848 and 63864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63848 and 63864. First we will calculate the prime factors of 63848 and 63864.

Prime Factorization of 63848

Prime Factorization of 63864

Now multiplying the highest exponent prime factors to calculate the LCM of 63848 and 63864.

LCM(63848,63864) = 2³ × 23¹ × 347¹ × 3² × 887¹
LCM(63848,63864) = 509698584