What is the Least Common Multiple of 62346 and 62354?

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 62346 and 62354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62346 and 62354, than apply into the LCM equation.

GCF(62346,62354) = 2
LCM(62346,62354) = ( 62346 × 62354) / 2
LCM(62346,62354) = 3887522484 / 2
LCM(62346,62354) = 1943761242

Least Common Multiple (LCM) of 62346 and 62354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62346 and 62354. First we will calculate the prime factors of 62346 and 62354.

Prime Factorization of 62346

Prime Factorization of 62354

Now multiplying the highest exponent prime factors to calculate the LCM of 62346 and 62354.

LCM(62346,62354) = 2¹ × 3¹ × 10391¹ × 31177¹
LCM(62346,62354) = 1943761242