What is the Least Common Multiple of 63875 and 63895?

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 63875 and 63895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63875 and 63895, than apply into the LCM equation.

GCF(63875,63895) = 5
LCM(63875,63895) = ( 63875 × 63895) / 5
LCM(63875,63895) = 4081293125 / 5
LCM(63875,63895) = 816258625

Least Common Multiple (LCM) of 63875 and 63895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63875 and 63895. First we will calculate the prime factors of 63875 and 63895.

Prime Factorization of 63875

Prime Factorization of 63895

Now multiplying the highest exponent prime factors to calculate the LCM of 63875 and 63895.

LCM(63875,63895) = 5³ × 7¹ × 73¹ × 13¹ × 983¹
LCM(63875,63895) = 816258625