What is the Least Common Multiple of 63945 and 63950?

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 63945 and 63950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63945 and 63950, than apply into the LCM equation.

GCF(63945,63950) = 5
LCM(63945,63950) = ( 63945 × 63950) / 5
LCM(63945,63950) = 4089282750 / 5
LCM(63945,63950) = 817856550

Least Common Multiple (LCM) of 63945 and 63950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63945 and 63950. First we will calculate the prime factors of 63945 and 63950.

Prime Factorization of 63945

Prime Factorization of 63950

Now multiplying the highest exponent prime factors to calculate the LCM of 63945 and 63950.

LCM(63945,63950) = 3² × 5² × 7² × 29¹ × 2¹ × 1279¹
LCM(63945,63950) = 817856550