What is the Least Common Multiple of 81390 and 81406?

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 81390 and 81406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81390 and 81406, than apply into the LCM equation.

GCF(81390,81406) = 2
LCM(81390,81406) = ( 81390 × 81406) / 2
LCM(81390,81406) = 6625634340 / 2
LCM(81390,81406) = 3312817170

Least Common Multiple (LCM) of 81390 and 81406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81390 and 81406. First we will calculate the prime factors of 81390 and 81406.

Prime Factorization of 81390

Prime Factorization of 81406

Now multiplying the highest exponent prime factors to calculate the LCM of 81390 and 81406.

LCM(81390,81406) = 2¹ × 3¹ × 5¹ × 2713¹ × 13¹ × 31¹ × 101¹
LCM(81390,81406) = 3312817170