What is the Least Common Multiple of 54417 and 54434?

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 54417 and 54434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54417 and 54434, than apply into the LCM equation.

GCF(54417,54434) = 17
LCM(54417,54434) = ( 54417 × 54434) / 17
LCM(54417,54434) = 2962134978 / 17
LCM(54417,54434) = 174243234

Least Common Multiple (LCM) of 54417 and 54434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54417 and 54434. First we will calculate the prime factors of 54417 and 54434.

Prime Factorization of 54417

Prime Factorization of 54434

Now multiplying the highest exponent prime factors to calculate the LCM of 54417 and 54434.

LCM(54417,54434) = 3¹ × 11¹ × 17¹ × 97¹ × 2¹ × 1601¹
LCM(54417,54434) = 174243234