What is the Least Common Multiple of 83638 and 83657?

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 83657 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 83657, than apply into the LCM equation.

GCF(83638,83657) = 19
LCM(83638,83657) = ( 83638 × 83657) / 19
LCM(83638,83657) = 6996904166 / 19
LCM(83638,83657) = 368258114

Least Common Multiple (LCM) of 83638 and 83657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83638 and 83657. First we will calculate the prime factors of 83638 and 83657.

Prime Factorization of 83638

Prime Factorization of 83657

Now multiplying the highest exponent prime factors to calculate the LCM of 83638 and 83657.

LCM(83638,83657) = 2¹ × 19¹ × 31¹ × 71¹ × 7¹ × 17¹ × 37¹
LCM(83638,83657) = 368258114