What is the Least Common Multiple of 45240 and 45248?

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 45240 and 45248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45240 and 45248, than apply into the LCM equation.

GCF(45240,45248) = 8
LCM(45240,45248) = ( 45240 × 45248) / 8
LCM(45240,45248) = 2047019520 / 8
LCM(45240,45248) = 255877440

Least Common Multiple (LCM) of 45240 and 45248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45240 and 45248. First we will calculate the prime factors of 45240 and 45248.

Prime Factorization of 45240

Prime Factorization of 45248

Now multiplying the highest exponent prime factors to calculate the LCM of 45240 and 45248.

LCM(45240,45248) = 2⁶ × 3¹ × 5¹ × 13¹ × 29¹ × 7¹ × 101¹
LCM(45240,45248) = 255877440