What is the Least Common Multiple of 81590 and 81605?

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 81590 and 81605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81590 and 81605, than apply into the LCM equation.

GCF(81590,81605) = 5
LCM(81590,81605) = ( 81590 × 81605) / 5
LCM(81590,81605) = 6658151950 / 5
LCM(81590,81605) = 1331630390

Least Common Multiple (LCM) of 81590 and 81605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81590 and 81605. First we will calculate the prime factors of 81590 and 81605.

Prime Factorization of 81590

Prime Factorization of 81605

Now multiplying the highest exponent prime factors to calculate the LCM of 81590 and 81605.

LCM(81590,81605) = 2¹ × 5¹ × 41¹ × 199¹ × 19¹ × 859¹
LCM(81590,81605) = 1331630390