What is the Least Common Multiple of 29712 and 29716?

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 29712 and 29716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29712 and 29716, than apply into the LCM equation.

GCF(29712,29716) = 4
LCM(29712,29716) = ( 29712 × 29716) / 4
LCM(29712,29716) = 882921792 / 4
LCM(29712,29716) = 220730448

Least Common Multiple (LCM) of 29712 and 29716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29712 and 29716. First we will calculate the prime factors of 29712 and 29716.

Prime Factorization of 29712

Prime Factorization of 29716

Now multiplying the highest exponent prime factors to calculate the LCM of 29712 and 29716.

LCM(29712,29716) = 2⁴ × 3¹ × 619¹ × 17¹ × 19¹ × 23¹
LCM(29712,29716) = 220730448