What is the Least Common Multiple of 62794 and 62798?

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 62794 and 62798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62794 and 62798, than apply into the LCM equation.

GCF(62794,62798) = 2
LCM(62794,62798) = ( 62794 × 62798) / 2
LCM(62794,62798) = 3943337612 / 2
LCM(62794,62798) = 1971668806

Least Common Multiple (LCM) of 62794 and 62798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62794 and 62798. First we will calculate the prime factors of 62794 and 62798.

Prime Factorization of 62794

Prime Factorization of 62798

Now multiplying the highest exponent prime factors to calculate the LCM of 62794 and 62798.

LCM(62794,62798) = 2¹ × 31397¹ × 17¹ × 1847¹
LCM(62794,62798) = 1971668806