What is the Least Common Multiple of 67605 and 67620?

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 67605 and 67620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67605 and 67620, than apply into the LCM equation.

GCF(67605,67620) = 15
LCM(67605,67620) = ( 67605 × 67620) / 15
LCM(67605,67620) = 4571450100 / 15
LCM(67605,67620) = 304763340

Least Common Multiple (LCM) of 67605 and 67620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67605 and 67620. First we will calculate the prime factors of 67605 and 67620.

Prime Factorization of 67605

Prime Factorization of 67620

Now multiplying the highest exponent prime factors to calculate the LCM of 67605 and 67620.

LCM(67605,67620) = 3¹ × 5¹ × 4507¹ × 2² × 7² × 23¹
LCM(67605,67620) = 304763340