What is the Least Common Multiple of 67993 and 68013?

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 67993 and 68013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67993 and 68013, than apply into the LCM equation.

GCF(67993,68013) = 1
LCM(67993,68013) = ( 67993 × 68013) / 1
LCM(67993,68013) = 4624407909 / 1
LCM(67993,68013) = 4624407909

Least Common Multiple (LCM) of 67993 and 68013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67993 and 68013. First we will calculate the prime factors of 67993 and 68013.

Prime Factorization of 67993

Prime Factorization of 68013

Now multiplying the highest exponent prime factors to calculate the LCM of 67993 and 68013.

LCM(67993,68013) = 67993¹ × 3³ × 11¹ × 229¹
LCM(67993,68013) = 4624407909