What is the Least Common Multiple of 54414 and 54430?

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 54414 and 54430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54414 and 54430, than apply into the LCM equation.

GCF(54414,54430) = 2
LCM(54414,54430) = ( 54414 × 54430) / 2
LCM(54414,54430) = 2961754020 / 2
LCM(54414,54430) = 1480877010

Least Common Multiple (LCM) of 54414 and 54430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54414 and 54430. First we will calculate the prime factors of 54414 and 54430.

Prime Factorization of 54414

Prime Factorization of 54430

Now multiplying the highest exponent prime factors to calculate the LCM of 54414 and 54430.

LCM(54414,54430) = 2¹ × 3² × 3023¹ × 5¹ × 5443¹
LCM(54414,54430) = 1480877010