What is the Least Common Multiple of 34784 and 34788?

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 34784 and 34788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34784 and 34788, than apply into the LCM equation.

GCF(34784,34788) = 4
LCM(34784,34788) = ( 34784 × 34788) / 4
LCM(34784,34788) = 1210065792 / 4
LCM(34784,34788) = 302516448

Least Common Multiple (LCM) of 34784 and 34788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34784 and 34788. First we will calculate the prime factors of 34784 and 34788.

Prime Factorization of 34784

Prime Factorization of 34788

Now multiplying the highest exponent prime factors to calculate the LCM of 34784 and 34788.

LCM(34784,34788) = 2⁵ × 1087¹ × 3¹ × 13¹ × 223¹
LCM(34784,34788) = 302516448