What is the Least Common Multiple of 62683 and 62698?

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 62683 and 62698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62683 and 62698, than apply into the LCM equation.

GCF(62683,62698) = 1
LCM(62683,62698) = ( 62683 × 62698) / 1
LCM(62683,62698) = 3930098734 / 1
LCM(62683,62698) = 3930098734

Least Common Multiple (LCM) of 62683 and 62698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62683 and 62698. First we will calculate the prime factors of 62683 and 62698.

Prime Factorization of 62683

Prime Factorization of 62698

Now multiplying the highest exponent prime factors to calculate the LCM of 62683 and 62698.

LCM(62683,62698) = 62683¹ × 2¹ × 23¹ × 29¹ × 47¹
LCM(62683,62698) = 3930098734