What is the Least Common Multiple of 83576 and 83587?

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 83576 and 83587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83576 and 83587, than apply into the LCM equation.

GCF(83576,83587) = 1
LCM(83576,83587) = ( 83576 × 83587) / 1
LCM(83576,83587) = 6985867112 / 1
LCM(83576,83587) = 6985867112

Least Common Multiple (LCM) of 83576 and 83587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83576 and 83587. First we will calculate the prime factors of 83576 and 83587.

Prime Factorization of 83576

Prime Factorization of 83587

Now multiplying the highest exponent prime factors to calculate the LCM of 83576 and 83587.

LCM(83576,83587) = 2³ × 31¹ × 337¹ × 7¹ × 11941¹
LCM(83576,83587) = 6985867112