What is the Least Common Multiple of 69552 and 69567?

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 69552 and 69567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69552 and 69567, than apply into the LCM equation.

GCF(69552,69567) = 3
LCM(69552,69567) = ( 69552 × 69567) / 3
LCM(69552,69567) = 4838523984 / 3
LCM(69552,69567) = 1612841328

Least Common Multiple (LCM) of 69552 and 69567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69552 and 69567. First we will calculate the prime factors of 69552 and 69567.

Prime Factorization of 69552

Prime Factorization of 69567

Now multiplying the highest exponent prime factors to calculate the LCM of 69552 and 69567.

LCM(69552,69567) = 2⁴ × 3³ × 7¹ × 23¹ × 23189¹
LCM(69552,69567) = 1612841328