What is the Least Common Multiple of 36780 and 36784?

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 36780 and 36784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36780 and 36784, than apply into the LCM equation.

GCF(36780,36784) = 4
LCM(36780,36784) = ( 36780 × 36784) / 4
LCM(36780,36784) = 1352915520 / 4
LCM(36780,36784) = 338228880

Least Common Multiple (LCM) of 36780 and 36784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36780 and 36784. First we will calculate the prime factors of 36780 and 36784.

Prime Factorization of 36780

Prime Factorization of 36784

Now multiplying the highest exponent prime factors to calculate the LCM of 36780 and 36784.

LCM(36780,36784) = 2⁴ × 3¹ × 5¹ × 613¹ × 11² × 19¹
LCM(36780,36784) = 338228880