What is the Least Common Multiple of 63945 and 63952?

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 63952 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 63952, than apply into the LCM equation.

GCF(63945,63952) = 7
LCM(63945,63952) = ( 63945 × 63952) / 7
LCM(63945,63952) = 4089410640 / 7
LCM(63945,63952) = 584201520

Least Common Multiple (LCM) of 63945 and 63952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63945 and 63952. First we will calculate the prime factors of 63945 and 63952.

Prime Factorization of 63945

Prime Factorization of 63952

Now multiplying the highest exponent prime factors to calculate the LCM of 63945 and 63952.

LCM(63945,63952) = 3² × 5¹ × 7² × 29¹ × 2⁴ × 571¹
LCM(63945,63952) = 584201520