What is the Least Common Multiple of 27190 and 27199?

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 27190 and 27199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27190 and 27199, than apply into the LCM equation.

GCF(27190,27199) = 1
LCM(27190,27199) = ( 27190 × 27199) / 1
LCM(27190,27199) = 739540810 / 1
LCM(27190,27199) = 739540810

Least Common Multiple (LCM) of 27190 and 27199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27190 and 27199. First we will calculate the prime factors of 27190 and 27199.

Prime Factorization of 27190

Prime Factorization of 27199

Now multiplying the highest exponent prime factors to calculate the LCM of 27190 and 27199.

LCM(27190,27199) = 2¹ × 5¹ × 2719¹ × 59¹ × 461¹
LCM(27190,27199) = 739540810