What is the Least Common Multiple of 74058 and 74069?

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 74058 and 74069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74058 and 74069, than apply into the LCM equation.

GCF(74058,74069) = 1
LCM(74058,74069) = ( 74058 × 74069) / 1
LCM(74058,74069) = 5485402002 / 1
LCM(74058,74069) = 5485402002

Least Common Multiple (LCM) of 74058 and 74069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74058 and 74069. First we will calculate the prime factors of 74058 and 74069.

Prime Factorization of 74058

Prime Factorization of 74069

Now multiplying the highest exponent prime factors to calculate the LCM of 74058 and 74069.

LCM(74058,74069) = 2¹ × 3¹ × 12343¹ × 17¹ × 4357¹
LCM(74058,74069) = 5485402002