What is the Least Common Multiple of 29952 and 29963?

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 29952 and 29963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29952 and 29963, than apply into the LCM equation.

GCF(29952,29963) = 1
LCM(29952,29963) = ( 29952 × 29963) / 1
LCM(29952,29963) = 897451776 / 1
LCM(29952,29963) = 897451776

Least Common Multiple (LCM) of 29952 and 29963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29952 and 29963. First we will calculate the prime factors of 29952 and 29963.

Prime Factorization of 29952

Prime Factorization of 29963

Now multiplying the highest exponent prime factors to calculate the LCM of 29952 and 29963.

LCM(29952,29963) = 2⁸ × 3² × 13¹ × 19² × 83¹
LCM(29952,29963) = 897451776