What is the Least Common Multiple of 39776 and 39787?

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 39776 and 39787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39776 and 39787, than apply into the LCM equation.

GCF(39776,39787) = 11
LCM(39776,39787) = ( 39776 × 39787) / 11
LCM(39776,39787) = 1582567712 / 11
LCM(39776,39787) = 143869792

Least Common Multiple (LCM) of 39776 and 39787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39776 and 39787. First we will calculate the prime factors of 39776 and 39787.

Prime Factorization of 39776

Prime Factorization of 39787

Now multiplying the highest exponent prime factors to calculate the LCM of 39776 and 39787.

LCM(39776,39787) = 2⁵ × 11¹ × 113¹ × 3617¹
LCM(39776,39787) = 143869792