What is the Least Common Multiple of 27072 and 27090?

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 27072 and 27090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27072 and 27090, than apply into the LCM equation.

GCF(27072,27090) = 18
LCM(27072,27090) = ( 27072 × 27090) / 18
LCM(27072,27090) = 733380480 / 18
LCM(27072,27090) = 40743360

Least Common Multiple (LCM) of 27072 and 27090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27072 and 27090. First we will calculate the prime factors of 27072 and 27090.

Prime Factorization of 27072

Prime Factorization of 27090

Now multiplying the highest exponent prime factors to calculate the LCM of 27072 and 27090.

LCM(27072,27090) = 2⁶ × 3² × 47¹ × 5¹ × 7¹ × 43¹
LCM(27072,27090) = 40743360