What is the Least Common Multiple of 68821 and 68841?

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 68821 and 68841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68821 and 68841, than apply into the LCM equation.

GCF(68821,68841) = 1
LCM(68821,68841) = ( 68821 × 68841) / 1
LCM(68821,68841) = 4737706461 / 1
LCM(68821,68841) = 4737706461

Least Common Multiple (LCM) of 68821 and 68841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68821 and 68841. First we will calculate the prime factors of 68821 and 68841.

Prime Factorization of 68821

Prime Factorization of 68841

Now multiplying the highest exponent prime factors to calculate the LCM of 68821 and 68841.

LCM(68821,68841) = 68821¹ × 3² × 7649¹
LCM(68821,68841) = 4737706461