What is the Least Common Multiple of 81090 and 81109?

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 81090 and 81109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81090 and 81109, than apply into the LCM equation.

GCF(81090,81109) = 1
LCM(81090,81109) = ( 81090 × 81109) / 1
LCM(81090,81109) = 6577128810 / 1
LCM(81090,81109) = 6577128810

Least Common Multiple (LCM) of 81090 and 81109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81090 and 81109. First we will calculate the prime factors of 81090 and 81109.

Prime Factorization of 81090

Prime Factorization of 81109

Now multiplying the highest exponent prime factors to calculate the LCM of 81090 and 81109.

LCM(81090,81109) = 2¹ × 3² × 5¹ × 17¹ × 53¹ × 7¹ × 11587¹
LCM(81090,81109) = 6577128810