What is the Least Common Multiple of 62320 and 62340?

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 62340 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 62340, than apply into the LCM equation.

GCF(62320,62340) = 20
LCM(62320,62340) = ( 62320 × 62340) / 20
LCM(62320,62340) = 3885028800 / 20
LCM(62320,62340) = 194251440

Least Common Multiple (LCM) of 62320 and 62340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62320 and 62340. First we will calculate the prime factors of 62320 and 62340.

Prime Factorization of 62320

Prime Factorization of 62340

Now multiplying the highest exponent prime factors to calculate the LCM of 62320 and 62340.

LCM(62320,62340) = 2⁴ × 5¹ × 19¹ × 41¹ × 3¹ × 1039¹
LCM(62320,62340) = 194251440