What is the Least Common Multiple of 68057 and 68068?

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 68057 and 68068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68057 and 68068, than apply into the LCM equation.

GCF(68057,68068) = 11
LCM(68057,68068) = ( 68057 × 68068) / 11
LCM(68057,68068) = 4632503876 / 11
LCM(68057,68068) = 421136716

Least Common Multiple (LCM) of 68057 and 68068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68057 and 68068. First we will calculate the prime factors of 68057 and 68068.

Prime Factorization of 68057

Prime Factorization of 68068

Now multiplying the highest exponent prime factors to calculate the LCM of 68057 and 68068.

LCM(68057,68068) = 11¹ × 23¹ × 269¹ × 2² × 7¹ × 13¹ × 17¹
LCM(68057,68068) = 421136716