What is the Least Common Multiple of 83638 and 83654?

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 83638 and 83654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83638 and 83654, than apply into the LCM equation.

GCF(83638,83654) = 2
LCM(83638,83654) = ( 83638 × 83654) / 2
LCM(83638,83654) = 6996653252 / 2
LCM(83638,83654) = 3498326626

Least Common Multiple (LCM) of 83638 and 83654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83638 and 83654. First we will calculate the prime factors of 83638 and 83654.

Prime Factorization of 83638

Prime Factorization of 83654

Now multiplying the highest exponent prime factors to calculate the LCM of 83638 and 83654.

LCM(83638,83654) = 2¹ × 19¹ × 31¹ × 71¹ × 151¹ × 277¹
LCM(83638,83654) = 3498326626