What is the Least Common Multiple of 63965 and 63975?

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 63965 and 63975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63965 and 63975, than apply into the LCM equation.

GCF(63965,63975) = 5
LCM(63965,63975) = ( 63965 × 63975) / 5
LCM(63965,63975) = 4092160875 / 5
LCM(63965,63975) = 818432175

Least Common Multiple (LCM) of 63965 and 63975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63965 and 63975. First we will calculate the prime factors of 63965 and 63975.

Prime Factorization of 63965

Prime Factorization of 63975

Now multiplying the highest exponent prime factors to calculate the LCM of 63965 and 63975.

LCM(63965,63975) = 5² × 11¹ × 1163¹ × 3¹ × 853¹
LCM(63965,63975) = 818432175