What is the Least Common Multiple of 40768 and 40782?

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 40768 and 40782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40768 and 40782, than apply into the LCM equation.

GCF(40768,40782) = 14
LCM(40768,40782) = ( 40768 × 40782) / 14
LCM(40768,40782) = 1662600576 / 14
LCM(40768,40782) = 118757184

Least Common Multiple (LCM) of 40768 and 40782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40768 and 40782. First we will calculate the prime factors of 40768 and 40782.

Prime Factorization of 40768

Prime Factorization of 40782

Now multiplying the highest exponent prime factors to calculate the LCM of 40768 and 40782.

LCM(40768,40782) = 2⁶ × 7² × 13¹ × 3¹ × 971¹
LCM(40768,40782) = 118757184