What is the Least Common Multiple of 5442 and 5459?

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 5442 and 5459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5442 and 5459, than apply into the LCM equation.

GCF(5442,5459) = 1
LCM(5442,5459) = ( 5442 × 5459) / 1
LCM(5442,5459) = 29707878 / 1
LCM(5442,5459) = 29707878

Least Common Multiple (LCM) of 5442 and 5459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5442 and 5459. First we will calculate the prime factors of 5442 and 5459.

Prime Factorization of 5442

Prime Factorization of 5459

Now multiplying the highest exponent prime factors to calculate the LCM of 5442 and 5459.

LCM(5442,5459) = 2¹ × 3¹ × 907¹ × 53¹ × 103¹
LCM(5442,5459) = 29707878