What is the Least Common Multiple of 67405 and 67421?

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 67405 and 67421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67405 and 67421, than apply into the LCM equation.

GCF(67405,67421) = 1
LCM(67405,67421) = ( 67405 × 67421) / 1
LCM(67405,67421) = 4544512505 / 1
LCM(67405,67421) = 4544512505

Least Common Multiple (LCM) of 67405 and 67421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67405 and 67421. First we will calculate the prime factors of 67405 and 67421.

Prime Factorization of 67405

Prime Factorization of 67421

Now multiplying the highest exponent prime factors to calculate the LCM of 67405 and 67421.

LCM(67405,67421) = 5¹ × 13¹ × 17¹ × 61¹ × 67421¹
LCM(67405,67421) = 4544512505