What is the Least Common Multiple of 74512 and 74525?

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 74512 and 74525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74512 and 74525, than apply into the LCM equation.

GCF(74512,74525) = 1
LCM(74512,74525) = ( 74512 × 74525) / 1
LCM(74512,74525) = 5553006800 / 1
LCM(74512,74525) = 5553006800

Least Common Multiple (LCM) of 74512 and 74525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74512 and 74525. First we will calculate the prime factors of 74512 and 74525.

Prime Factorization of 74512

Prime Factorization of 74525

Now multiplying the highest exponent prime factors to calculate the LCM of 74512 and 74525.

LCM(74512,74525) = 2⁴ × 4657¹ × 5² × 11¹ × 271¹
LCM(74512,74525) = 5553006800