What is the Least Common Multiple of 74666 and 74680?

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 74666 and 74680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74666 and 74680, than apply into the LCM equation.

GCF(74666,74680) = 2
LCM(74666,74680) = ( 74666 × 74680) / 2
LCM(74666,74680) = 5576056880 / 2
LCM(74666,74680) = 2788028440

Least Common Multiple (LCM) of 74666 and 74680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74666 and 74680. First we will calculate the prime factors of 74666 and 74680.

Prime Factorization of 74666

Prime Factorization of 74680

Now multiplying the highest exponent prime factors to calculate the LCM of 74666 and 74680.

LCM(74666,74680) = 2³ × 37¹ × 1009¹ × 5¹ × 1867¹
LCM(74666,74680) = 2788028440