What is the Least Common Multiple of 83074 and 83089?

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 83074 and 83089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83074 and 83089, than apply into the LCM equation.

GCF(83074,83089) = 1
LCM(83074,83089) = ( 83074 × 83089) / 1
LCM(83074,83089) = 6902535586 / 1
LCM(83074,83089) = 6902535586

Least Common Multiple (LCM) of 83074 and 83089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83074 and 83089. First we will calculate the prime factors of 83074 and 83089.

Prime Factorization of 83074

Prime Factorization of 83089

Now multiplying the highest exponent prime factors to calculate the LCM of 83074 and 83089.

LCM(83074,83089) = 2¹ × 73¹ × 569¹ × 83089¹
LCM(83074,83089) = 6902535586