What is the Least Common Multiple of 64533 and 64547?

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 64533 and 64547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64533 and 64547, than apply into the LCM equation.

GCF(64533,64547) = 7
LCM(64533,64547) = ( 64533 × 64547) / 7
LCM(64533,64547) = 4165411551 / 7
LCM(64533,64547) = 595058793

Least Common Multiple (LCM) of 64533 and 64547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64533 and 64547. First we will calculate the prime factors of 64533 and 64547.

Prime Factorization of 64533

Prime Factorization of 64547

Now multiplying the highest exponent prime factors to calculate the LCM of 64533 and 64547.

LCM(64533,64547) = 3¹ × 7² × 439¹ × 9221¹
LCM(64533,64547) = 595058793