What is the Least Common Multiple of 62384 and 62398?

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 62384 and 62398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62384 and 62398, than apply into the LCM equation.

GCF(62384,62398) = 14
LCM(62384,62398) = ( 62384 × 62398) / 14
LCM(62384,62398) = 3892636832 / 14
LCM(62384,62398) = 278045488

Least Common Multiple (LCM) of 62384 and 62398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62384 and 62398. First we will calculate the prime factors of 62384 and 62398.

Prime Factorization of 62384

Prime Factorization of 62398

Now multiplying the highest exponent prime factors to calculate the LCM of 62384 and 62398.

LCM(62384,62398) = 2⁴ × 7¹ × 557¹ × 4457¹
LCM(62384,62398) = 278045488