What is the Least Common Multiple of 27405 and 27412?

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 27405 and 27412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27405 and 27412, than apply into the LCM equation.

GCF(27405,27412) = 7
LCM(27405,27412) = ( 27405 × 27412) / 7
LCM(27405,27412) = 751225860 / 7
LCM(27405,27412) = 107317980

Least Common Multiple (LCM) of 27405 and 27412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27405 and 27412. First we will calculate the prime factors of 27405 and 27412.

Prime Factorization of 27405

Prime Factorization of 27412

Now multiplying the highest exponent prime factors to calculate the LCM of 27405 and 27412.

LCM(27405,27412) = 3³ × 5¹ × 7¹ × 29¹ × 2² × 11¹ × 89¹
LCM(27405,27412) = 107317980