What is the Least Common Multiple of 27454 and 27472?

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 27454 and 27472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27454 and 27472, than apply into the LCM equation.

GCF(27454,27472) = 2
LCM(27454,27472) = ( 27454 × 27472) / 2
LCM(27454,27472) = 754216288 / 2
LCM(27454,27472) = 377108144

Least Common Multiple (LCM) of 27454 and 27472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27454 and 27472. First we will calculate the prime factors of 27454 and 27472.

Prime Factorization of 27454

Prime Factorization of 27472

Now multiplying the highest exponent prime factors to calculate the LCM of 27454 and 27472.

LCM(27454,27472) = 2⁴ × 7¹ × 37¹ × 53¹ × 17¹ × 101¹
LCM(27454,27472) = 377108144