What is the Least Common Multiple of 54398 and 54413?

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 54398 and 54413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54398 and 54413, than apply into the LCM equation.

GCF(54398,54413) = 1
LCM(54398,54413) = ( 54398 × 54413) / 1
LCM(54398,54413) = 2959958374 / 1
LCM(54398,54413) = 2959958374

Least Common Multiple (LCM) of 54398 and 54413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54398 and 54413. First we will calculate the prime factors of 54398 and 54413.

Prime Factorization of 54398

Prime Factorization of 54413

Now multiplying the highest exponent prime factors to calculate the LCM of 54398 and 54413.

LCM(54398,54413) = 2¹ × 59¹ × 461¹ × 54413¹
LCM(54398,54413) = 2959958374