What is the Least Common Multiple of 39768 and 39784?

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 39768 and 39784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39768 and 39784, than apply into the LCM equation.

GCF(39768,39784) = 8
LCM(39768,39784) = ( 39768 × 39784) / 8
LCM(39768,39784) = 1582130112 / 8
LCM(39768,39784) = 197766264

Least Common Multiple (LCM) of 39768 and 39784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39768 and 39784. First we will calculate the prime factors of 39768 and 39784.

Prime Factorization of 39768

Prime Factorization of 39784

Now multiplying the highest exponent prime factors to calculate the LCM of 39768 and 39784.

LCM(39768,39784) = 2³ × 3¹ × 1657¹ × 4973¹
LCM(39768,39784) = 197766264