What is the Least Common Multiple of 67608 and 67613?

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 67608 and 67613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67608 and 67613, than apply into the LCM equation.

GCF(67608,67613) = 1
LCM(67608,67613) = ( 67608 × 67613) / 1
LCM(67608,67613) = 4571179704 / 1
LCM(67608,67613) = 4571179704

Least Common Multiple (LCM) of 67608 and 67613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67608 and 67613. First we will calculate the prime factors of 67608 and 67613.

Prime Factorization of 67608

Prime Factorization of 67613

Now multiplying the highest exponent prime factors to calculate the LCM of 67608 and 67613.

LCM(67608,67613) = 2³ × 3³ × 313¹ × 7¹ × 13¹ × 743¹
LCM(67608,67613) = 4571179704