What is the Least Common Multiple of 67401 and 67413?

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 67401 and 67413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67401 and 67413, than apply into the LCM equation.

GCF(67401,67413) = 3
LCM(67401,67413) = ( 67401 × 67413) / 3
LCM(67401,67413) = 4543703613 / 3
LCM(67401,67413) = 1514567871

Least Common Multiple (LCM) of 67401 and 67413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67401 and 67413. First we will calculate the prime factors of 67401 and 67413.

Prime Factorization of 67401

Prime Factorization of 67413

Now multiplying the highest exponent prime factors to calculate the LCM of 67401 and 67413.

LCM(67401,67413) = 3² × 7489¹ × 23¹ × 977¹
LCM(67401,67413) = 1514567871