What is the Least Common Multiple of 81012 and 81026?

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 81012 and 81026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81012 and 81026, than apply into the LCM equation.

GCF(81012,81026) = 2
LCM(81012,81026) = ( 81012 × 81026) / 2
LCM(81012,81026) = 6564078312 / 2
LCM(81012,81026) = 3282039156

Least Common Multiple (LCM) of 81012 and 81026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81012 and 81026. First we will calculate the prime factors of 81012 and 81026.

Prime Factorization of 81012

Prime Factorization of 81026

Now multiplying the highest exponent prime factors to calculate the LCM of 81012 and 81026.

LCM(81012,81026) = 2² × 3¹ × 43¹ × 157¹ × 11¹ × 29¹ × 127¹
LCM(81012,81026) = 3282039156