What is the Least Common Multiple of 5952 and 5963?

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 5952 and 5963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5952 and 5963, than apply into the LCM equation.

GCF(5952,5963) = 1
LCM(5952,5963) = ( 5952 × 5963) / 1
LCM(5952,5963) = 35491776 / 1
LCM(5952,5963) = 35491776

Least Common Multiple (LCM) of 5952 and 5963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5952 and 5963. First we will calculate the prime factors of 5952 and 5963.

Prime Factorization of 5952

Prime Factorization of 5963

Now multiplying the highest exponent prime factors to calculate the LCM of 5952 and 5963.

LCM(5952,5963) = 2⁶ × 3¹ × 31¹ × 67¹ × 89¹
LCM(5952,5963) = 35491776