What is the Least Common Multiple of 81258 and 81278?

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 81258 and 81278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81258 and 81278, than apply into the LCM equation.

GCF(81258,81278) = 2
LCM(81258,81278) = ( 81258 × 81278) / 2
LCM(81258,81278) = 6604487724 / 2
LCM(81258,81278) = 3302243862

Least Common Multiple (LCM) of 81258 and 81278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81258 and 81278. First we will calculate the prime factors of 81258 and 81278.

Prime Factorization of 81258

Prime Factorization of 81278

Now multiplying the highest exponent prime factors to calculate the LCM of 81258 and 81278.

LCM(81258,81278) = 2¹ × 3¹ × 29¹ × 467¹ × 40639¹
LCM(81258,81278) = 3302243862