What is the Least Common Multiple of 69450 and 69456?

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 69450 and 69456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69450 and 69456, than apply into the LCM equation.

GCF(69450,69456) = 6
LCM(69450,69456) = ( 69450 × 69456) / 6
LCM(69450,69456) = 4823719200 / 6
LCM(69450,69456) = 803953200

Least Common Multiple (LCM) of 69450 and 69456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69450 and 69456. First we will calculate the prime factors of 69450 and 69456.

Prime Factorization of 69450

Prime Factorization of 69456

Now multiplying the highest exponent prime factors to calculate the LCM of 69450 and 69456.

LCM(69450,69456) = 2⁴ × 3¹ × 5² × 463¹ × 1447¹
LCM(69450,69456) = 803953200