What is the Least Common Multiple of 62320 and 62338?

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 62320 and 62338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62320 and 62338, than apply into the LCM equation.

GCF(62320,62338) = 2
LCM(62320,62338) = ( 62320 × 62338) / 2
LCM(62320,62338) = 3884904160 / 2
LCM(62320,62338) = 1942452080

Least Common Multiple (LCM) of 62320 and 62338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62320 and 62338. First we will calculate the prime factors of 62320 and 62338.

Prime Factorization of 62320

Prime Factorization of 62338

Now multiplying the highest exponent prime factors to calculate the LCM of 62320 and 62338.

LCM(62320,62338) = 2⁴ × 5¹ × 19¹ × 41¹ × 71¹ × 439¹
LCM(62320,62338) = 1942452080