What is the Least Common Multiple of 68838 and 68849?

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 68838 and 68849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68838 and 68849, than apply into the LCM equation.

GCF(68838,68849) = 11
LCM(68838,68849) = ( 68838 × 68849) / 11
LCM(68838,68849) = 4739427462 / 11
LCM(68838,68849) = 430857042

Least Common Multiple (LCM) of 68838 and 68849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68838 and 68849. First we will calculate the prime factors of 68838 and 68849.

Prime Factorization of 68838

Prime Factorization of 68849

Now multiplying the highest exponent prime factors to calculate the LCM of 68838 and 68849.

LCM(68838,68849) = 2¹ × 3¹ × 7¹ × 11² × 149¹ × 569¹
LCM(68838,68849) = 430857042