What is the Least Common Multiple of 27090 and 27100?

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 27090 and 27100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27090 and 27100, than apply into the LCM equation.

GCF(27090,27100) = 10
LCM(27090,27100) = ( 27090 × 27100) / 10
LCM(27090,27100) = 734139000 / 10
LCM(27090,27100) = 73413900

Least Common Multiple (LCM) of 27090 and 27100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27090 and 27100. First we will calculate the prime factors of 27090 and 27100.

Prime Factorization of 27090

Prime Factorization of 27100

Now multiplying the highest exponent prime factors to calculate the LCM of 27090 and 27100.

LCM(27090,27100) = 2² × 3² × 5² × 7¹ × 43¹ × 271¹
LCM(27090,27100) = 73413900