What is the Least Common Multiple of 74605 and 74616?

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 74605 and 74616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74605 and 74616, than apply into the LCM equation.

GCF(74605,74616) = 1
LCM(74605,74616) = ( 74605 × 74616) / 1
LCM(74605,74616) = 5566726680 / 1
LCM(74605,74616) = 5566726680

Least Common Multiple (LCM) of 74605 and 74616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74605 and 74616. First we will calculate the prime factors of 74605 and 74616.

Prime Factorization of 74605

Prime Factorization of 74616

Now multiplying the highest exponent prime factors to calculate the LCM of 74605 and 74616.

LCM(74605,74616) = 5¹ × 43¹ × 347¹ × 2³ × 3¹ × 3109¹
LCM(74605,74616) = 5566726680