GCF and LCM Calculator Logo

What is the Least Common Multiple of 54394 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 (LCM) of 54394 and 54413 is 2959740722.

LCM(54394,54413) = 2959740722

LCM Calculator and
and

Least Common Multiple of 54394 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 54394 and 54413, than apply into the LCM equation.

GCF(54394,54413) = 1
LCM(54394,54413) = ( 54394 × 54413) / 1
LCM(54394,54413) = 2959740722 / 1
LCM(54394,54413) = 2959740722

Least Common Multiple (LCM) of 54394 and 54413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54394 and 54413. First we will calculate the prime factors of 54394 and 54413.

Prime Factorization of 54394

Prime factors of 54394 are 2, 27197. Prime factorization of 54394 in exponential form is:

54394 = 21 × 271971

Prime Factorization of 54413

Prime factors of 54413 are 54413. Prime factorization of 54413 in exponential form is:

54413 = 544131

Now multiplying the highest exponent prime factors to calculate the LCM of 54394 and 54413.

LCM(54394,54413) = 21 × 271971 × 544131
LCM(54394,54413) = 2959740722