What is the Least Common Multiple of 63814 and 63832?

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 63814 and 63832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63814 and 63832, than apply into the LCM equation.

GCF(63814,63832) = 2
LCM(63814,63832) = ( 63814 × 63832) / 2
LCM(63814,63832) = 4073375248 / 2
LCM(63814,63832) = 2036687624

Least Common Multiple (LCM) of 63814 and 63832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63814 and 63832. First we will calculate the prime factors of 63814 and 63832.

Prime Factorization of 63814

Prime Factorization of 63832

Now multiplying the highest exponent prime factors to calculate the LCM of 63814 and 63832.

LCM(63814,63832) = 2³ × 31907¹ × 79¹ × 101¹
LCM(63814,63832) = 2036687624