What is the Least Common Multiple of 67547 and 67564?

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 67547 and 67564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67547 and 67564, than apply into the LCM equation.

GCF(67547,67564) = 1
LCM(67547,67564) = ( 67547 × 67564) / 1
LCM(67547,67564) = 4563745508 / 1
LCM(67547,67564) = 4563745508

Least Common Multiple (LCM) of 67547 and 67564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67547 and 67564. First we will calculate the prime factors of 67547 and 67564.

Prime Factorization of 67547

Prime Factorization of 67564

Now multiplying the highest exponent prime factors to calculate the LCM of 67547 and 67564.

LCM(67547,67564) = 67547¹ × 2² × 7¹ × 19¹ × 127¹
LCM(67547,67564) = 4563745508