What is the Least Common Multiple of 27038 and 27052?

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 27038 and 27052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27038 and 27052, than apply into the LCM equation.

GCF(27038,27052) = 2
LCM(27038,27052) = ( 27038 × 27052) / 2
LCM(27038,27052) = 731431976 / 2
LCM(27038,27052) = 365715988

Least Common Multiple (LCM) of 27038 and 27052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27038 and 27052. First we will calculate the prime factors of 27038 and 27052.

Prime Factorization of 27038

Prime Factorization of 27052

Now multiplying the highest exponent prime factors to calculate the LCM of 27038 and 27052.

LCM(27038,27052) = 2² × 11¹ × 1229¹ × 6763¹
LCM(27038,27052) = 365715988