What is the Least Common Multiple of 63874 and 63880?

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 63874 and 63880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63874 and 63880, than apply into the LCM equation.

GCF(63874,63880) = 2
LCM(63874,63880) = ( 63874 × 63880) / 2
LCM(63874,63880) = 4080271120 / 2
LCM(63874,63880) = 2040135560

Least Common Multiple (LCM) of 63874 and 63880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63874 and 63880. First we will calculate the prime factors of 63874 and 63880.

Prime Factorization of 63874

Prime Factorization of 63880

Now multiplying the highest exponent prime factors to calculate the LCM of 63874 and 63880.

LCM(63874,63880) = 2³ × 109¹ × 293¹ × 5¹ × 1597¹
LCM(63874,63880) = 2040135560