What is the Least Common Multiple of 54320 and 54338?

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 54320 and 54338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54320 and 54338, than apply into the LCM equation.

GCF(54320,54338) = 2
LCM(54320,54338) = ( 54320 × 54338) / 2
LCM(54320,54338) = 2951640160 / 2
LCM(54320,54338) = 1475820080

Least Common Multiple (LCM) of 54320 and 54338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54320 and 54338. First we will calculate the prime factors of 54320 and 54338.

Prime Factorization of 54320

Prime Factorization of 54338

Now multiplying the highest exponent prime factors to calculate the LCM of 54320 and 54338.

LCM(54320,54338) = 2⁴ × 5¹ × 7¹ × 97¹ × 101¹ × 269¹
LCM(54320,54338) = 1475820080