What is the Least Common Multiple of 62802 and 62806?

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 62802 and 62806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62802 and 62806, than apply into the LCM equation.

GCF(62802,62806) = 2
LCM(62802,62806) = ( 62802 × 62806) / 2
LCM(62802,62806) = 3944342412 / 2
LCM(62802,62806) = 1972171206

Least Common Multiple (LCM) of 62802 and 62806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62802 and 62806. First we will calculate the prime factors of 62802 and 62806.

Prime Factorization of 62802

Prime Factorization of 62806

Now multiplying the highest exponent prime factors to calculate the LCM of 62802 and 62806.

LCM(62802,62806) = 2¹ × 3³ × 1163¹ × 31¹ × 1013¹
LCM(62802,62806) = 1972171206