What is the Least Common Multiple of 83754 and 83771?

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 83754 and 83771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83754 and 83771, than apply into the LCM equation.

GCF(83754,83771) = 1
LCM(83754,83771) = ( 83754 × 83771) / 1
LCM(83754,83771) = 7016156334 / 1
LCM(83754,83771) = 7016156334

Least Common Multiple (LCM) of 83754 and 83771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83754 and 83771. First we will calculate the prime factors of 83754 and 83771.

Prime Factorization of 83754

Prime Factorization of 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 83754 and 83771.

LCM(83754,83771) = 2¹ × 3⁴ × 11¹ × 47¹ × 19¹ × 4409¹
LCM(83754,83771) = 7016156334