What is the Least Common Multiple of 27398 and 27411?

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 27398 and 27411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27398 and 27411, than apply into the LCM equation.

GCF(27398,27411) = 1
LCM(27398,27411) = ( 27398 × 27411) / 1
LCM(27398,27411) = 751006578 / 1
LCM(27398,27411) = 751006578

Least Common Multiple (LCM) of 27398 and 27411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27398 and 27411. First we will calculate the prime factors of 27398 and 27411.

Prime Factorization of 27398

Prime Factorization of 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 27398 and 27411.

LCM(27398,27411) = 2¹ × 7¹ × 19¹ × 103¹ × 3¹ × 9137¹
LCM(27398,27411) = 751006578