What is the Least Common Multiple of 62698 and 62717?

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 62698 and 62717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62698 and 62717, than apply into the LCM equation.

GCF(62698,62717) = 1
LCM(62698,62717) = ( 62698 × 62717) / 1
LCM(62698,62717) = 3932230466 / 1
LCM(62698,62717) = 3932230466

Least Common Multiple (LCM) of 62698 and 62717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62698 and 62717. First we will calculate the prime factors of 62698 and 62717.

Prime Factorization of 62698

Prime Factorization of 62717

Now multiplying the highest exponent prime factors to calculate the LCM of 62698 and 62717.

LCM(62698,62717) = 2¹ × 23¹ × 29¹ × 47¹ × 59¹ × 1063¹
LCM(62698,62717) = 3932230466