What is the Least Common Multiple of 81004 and 81012?

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 81004 and 81012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81004 and 81012, than apply into the LCM equation.

GCF(81004,81012) = 4
LCM(81004,81012) = ( 81004 × 81012) / 4
LCM(81004,81012) = 6562296048 / 4
LCM(81004,81012) = 1640574012

Least Common Multiple (LCM) of 81004 and 81012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81004 and 81012. First we will calculate the prime factors of 81004 and 81012.

Prime Factorization of 81004

Prime Factorization of 81012

Now multiplying the highest exponent prime factors to calculate the LCM of 81004 and 81012.

LCM(81004,81012) = 2² × 7¹ × 11¹ × 263¹ × 3¹ × 43¹ × 157¹
LCM(81004,81012) = 1640574012