What is the Least Common Multiple of 74586 and 74606?

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 74586 and 74606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74586 and 74606, than apply into the LCM equation.

GCF(74586,74606) = 2
LCM(74586,74606) = ( 74586 × 74606) / 2
LCM(74586,74606) = 5564563116 / 2
LCM(74586,74606) = 2782281558

Least Common Multiple (LCM) of 74586 and 74606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74586 and 74606. First we will calculate the prime factors of 74586 and 74606.

Prime Factorization of 74586

Prime Factorization of 74606

Now multiplying the highest exponent prime factors to calculate the LCM of 74586 and 74606.

LCM(74586,74606) = 2¹ × 3¹ × 31¹ × 401¹ × 7¹ × 73²
LCM(74586,74606) = 2782281558