What is the Least Common Multiple of 81111 and 81130?

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 81111 and 81130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81111 and 81130, than apply into the LCM equation.

GCF(81111,81130) = 19
LCM(81111,81130) = ( 81111 × 81130) / 19
LCM(81111,81130) = 6580535430 / 19
LCM(81111,81130) = 346343970

Least Common Multiple (LCM) of 81111 and 81130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81111 and 81130. First we will calculate the prime factors of 81111 and 81130.

Prime Factorization of 81111

Prime Factorization of 81130

Now multiplying the highest exponent prime factors to calculate the LCM of 81111 and 81130.

LCM(81111,81130) = 3¹ × 19¹ × 1423¹ × 2¹ × 5¹ × 7¹ × 61¹
LCM(81111,81130) = 346343970