What is the Least Common Multiple of 5406 and 5419?

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 5406 and 5419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5406 and 5419, than apply into the LCM equation.

GCF(5406,5419) = 1
LCM(5406,5419) = ( 5406 × 5419) / 1
LCM(5406,5419) = 29295114 / 1
LCM(5406,5419) = 29295114

Least Common Multiple (LCM) of 5406 and 5419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5406 and 5419. First we will calculate the prime factors of 5406 and 5419.

Prime Factorization of 5406

Prime Factorization of 5419

Now multiplying the highest exponent prime factors to calculate the LCM of 5406 and 5419.

LCM(5406,5419) = 2¹ × 3¹ × 17¹ × 53¹ × 5419¹
LCM(5406,5419) = 29295114