What is the Least Common Multiple of 81086 and 81106?

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 81086 and 81106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81086 and 81106, than apply into the LCM equation.

GCF(81086,81106) = 2
LCM(81086,81106) = ( 81086 × 81106) / 2
LCM(81086,81106) = 6576561116 / 2
LCM(81086,81106) = 3288280558

Least Common Multiple (LCM) of 81086 and 81106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81086 and 81106. First we will calculate the prime factors of 81086 and 81106.

Prime Factorization of 81086

Prime Factorization of 81106

Now multiplying the highest exponent prime factors to calculate the LCM of 81086 and 81106.

LCM(81086,81106) = 2¹ × 40543¹ × 107¹ × 379¹
LCM(81086,81106) = 3288280558