What is the Least Common Multiple of 62817 and 62834?

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 62817 and 62834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62817 and 62834, than apply into the LCM equation.

GCF(62817,62834) = 1
LCM(62817,62834) = ( 62817 × 62834) / 1
LCM(62817,62834) = 3947043378 / 1
LCM(62817,62834) = 3947043378

Least Common Multiple (LCM) of 62817 and 62834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62817 and 62834. First we will calculate the prime factors of 62817 and 62834.

Prime Factorization of 62817

Prime Factorization of 62834

Now multiplying the highest exponent prime factors to calculate the LCM of 62817 and 62834.

LCM(62817,62834) = 3¹ × 20939¹ × 2¹ × 89¹ × 353¹
LCM(62817,62834) = 3947043378