What is the Least Common Multiple of 45280 and 45292?

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 45280 and 45292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45280 and 45292, than apply into the LCM equation.

GCF(45280,45292) = 4
LCM(45280,45292) = ( 45280 × 45292) / 4
LCM(45280,45292) = 2050821760 / 4
LCM(45280,45292) = 512705440

Least Common Multiple (LCM) of 45280 and 45292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45280 and 45292. First we will calculate the prime factors of 45280 and 45292.

Prime Factorization of 45280

Prime Factorization of 45292

Now multiplying the highest exponent prime factors to calculate the LCM of 45280 and 45292.

LCM(45280,45292) = 2⁵ × 5¹ × 283¹ × 13² × 67¹
LCM(45280,45292) = 512705440