What is the Least Common Multiple of 29784 and 29788?

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 29784 and 29788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29784 and 29788, than apply into the LCM equation.

GCF(29784,29788) = 4
LCM(29784,29788) = ( 29784 × 29788) / 4
LCM(29784,29788) = 887205792 / 4
LCM(29784,29788) = 221801448

Least Common Multiple (LCM) of 29784 and 29788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29784 and 29788. First we will calculate the prime factors of 29784 and 29788.

Prime Factorization of 29784

Prime Factorization of 29788

Now multiplying the highest exponent prime factors to calculate the LCM of 29784 and 29788.

LCM(29784,29788) = 2³ × 3¹ × 17¹ × 73¹ × 11¹ × 677¹
LCM(29784,29788) = 221801448