What is the Least Common Multiple of 72556 and 72574?

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 72556 and 72574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72556 and 72574, than apply into the LCM equation.

GCF(72556,72574) = 2
LCM(72556,72574) = ( 72556 × 72574) / 2
LCM(72556,72574) = 5265679144 / 2
LCM(72556,72574) = 2632839572

Least Common Multiple (LCM) of 72556 and 72574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72556 and 72574. First we will calculate the prime factors of 72556 and 72574.

Prime Factorization of 72556

Prime Factorization of 72574

Now multiplying the highest exponent prime factors to calculate the LCM of 72556 and 72574.

LCM(72556,72574) = 2² × 11¹ × 17¹ × 97¹ × 131¹ × 277¹
LCM(72556,72574) = 2632839572