What is the Least Common Multiple of 39768 and 39776?

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 39776 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 39776, than apply into the LCM equation.

GCF(39768,39776) = 8
LCM(39768,39776) = ( 39768 × 39776) / 8
LCM(39768,39776) = 1581811968 / 8
LCM(39768,39776) = 197726496

Least Common Multiple (LCM) of 39768 and 39776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39768 and 39776. First we will calculate the prime factors of 39768 and 39776.

Prime Factorization of 39768

Prime Factorization of 39776

Now multiplying the highest exponent prime factors to calculate the LCM of 39768 and 39776.

LCM(39768,39776) = 2⁵ × 3¹ × 1657¹ × 11¹ × 113¹
LCM(39768,39776) = 197726496