What is the Least Common Multiple of 83776 and 83783?

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 83776 and 83783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83776 and 83783, than apply into the LCM equation.

GCF(83776,83783) = 7
LCM(83776,83783) = ( 83776 × 83783) / 7
LCM(83776,83783) = 7019004608 / 7
LCM(83776,83783) = 1002714944

Least Common Multiple (LCM) of 83776 and 83783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83776 and 83783. First we will calculate the prime factors of 83776 and 83783.

Prime Factorization of 83776

Prime Factorization of 83783

Now multiplying the highest exponent prime factors to calculate the LCM of 83776 and 83783.

LCM(83776,83783) = 2⁶ × 7¹ × 11¹ × 17¹ × 11969¹
LCM(83776,83783) = 1002714944