What is the Least Common Multiple of 27440 and 27454?

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 27440 and 27454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27440 and 27454, than apply into the LCM equation.

GCF(27440,27454) = 14
LCM(27440,27454) = ( 27440 × 27454) / 14
LCM(27440,27454) = 753337760 / 14
LCM(27440,27454) = 53809840

Least Common Multiple (LCM) of 27440 and 27454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27440 and 27454. First we will calculate the prime factors of 27440 and 27454.

Prime Factorization of 27440

Prime Factorization of 27454

Now multiplying the highest exponent prime factors to calculate the LCM of 27440 and 27454.

LCM(27440,27454) = 2⁴ × 5¹ × 7³ × 37¹ × 53¹
LCM(27440,27454) = 53809840