What is the Least Common Multiple of 73240 and 73248?

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 73240 and 73248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73240 and 73248, than apply into the LCM equation.

GCF(73240,73248) = 8
LCM(73240,73248) = ( 73240 × 73248) / 8
LCM(73240,73248) = 5364683520 / 8
LCM(73240,73248) = 670585440

Least Common Multiple (LCM) of 73240 and 73248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73240 and 73248. First we will calculate the prime factors of 73240 and 73248.

Prime Factorization of 73240

Prime Factorization of 73248

Now multiplying the highest exponent prime factors to calculate the LCM of 73240 and 73248.

LCM(73240,73248) = 2⁵ × 5¹ × 1831¹ × 3¹ × 7¹ × 109¹
LCM(73240,73248) = 670585440