What is the Least Common Multiple of 67605 and 67621?

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 67621 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 67621, than apply into the LCM equation.

GCF(67605,67621) = 1
LCM(67605,67621) = ( 67605 × 67621) / 1
LCM(67605,67621) = 4571517705 / 1
LCM(67605,67621) = 4571517705

Least Common Multiple (LCM) of 67605 and 67621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67605 and 67621. First we will calculate the prime factors of 67605 and 67621.

Prime Factorization of 67605

Prime Factorization of 67621

Now multiplying the highest exponent prime factors to calculate the LCM of 67605 and 67621.

LCM(67605,67621) = 3¹ × 5¹ × 4507¹ × 19¹ × 3559¹
LCM(67605,67621) = 4571517705