What is the Least Common Multiple of 66552 and 66565?

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 66552 and 66565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66552 and 66565, than apply into the LCM equation.

GCF(66552,66565) = 1
LCM(66552,66565) = ( 66552 × 66565) / 1
LCM(66552,66565) = 4430033880 / 1
LCM(66552,66565) = 4430033880

Least Common Multiple (LCM) of 66552 and 66565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66552 and 66565. First we will calculate the prime factors of 66552 and 66565.

Prime Factorization of 66552

Prime Factorization of 66565

Now multiplying the highest exponent prime factors to calculate the LCM of 66552 and 66565.

LCM(66552,66565) = 2³ × 3¹ × 47¹ × 59¹ × 5¹ × 13313¹
LCM(66552,66565) = 4430033880