What is the Least Common Multiple of 83657 and 83671?

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 83657 and 83671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83657 and 83671, than apply into the LCM equation.

GCF(83657,83671) = 7
LCM(83657,83671) = ( 83657 × 83671) / 7
LCM(83657,83671) = 6999664847 / 7
LCM(83657,83671) = 999952121

Least Common Multiple (LCM) of 83657 and 83671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83657 and 83671. First we will calculate the prime factors of 83657 and 83671.

Prime Factorization of 83657

Prime Factorization of 83671

Now multiplying the highest exponent prime factors to calculate the LCM of 83657 and 83671.

LCM(83657,83671) = 7¹ × 17¹ × 19¹ × 37¹ × 11953¹
LCM(83657,83671) = 999952121