What is the Least Common Multiple of 81090 and 81105?

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 81105 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 81105, than apply into the LCM equation.

GCF(81090,81105) = 15
LCM(81090,81105) = ( 81090 × 81105) / 15
LCM(81090,81105) = 6576804450 / 15
LCM(81090,81105) = 438453630

Least Common Multiple (LCM) of 81090 and 81105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81090 and 81105. First we will calculate the prime factors of 81090 and 81105.

Prime Factorization of 81090

Prime Factorization of 81105

Now multiplying the highest exponent prime factors to calculate the LCM of 81090 and 81105.

LCM(81090,81105) = 2¹ × 3² × 5¹ × 17¹ × 53¹ × 5407¹
LCM(81090,81105) = 438453630