What is the Least Common Multiple of 74290 and 74309?

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 74290 and 74309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74290 and 74309, than apply into the LCM equation.

GCF(74290,74309) = 19
LCM(74290,74309) = ( 74290 × 74309) / 19
LCM(74290,74309) = 5520415610 / 19
LCM(74290,74309) = 290548190

Least Common Multiple (LCM) of 74290 and 74309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74290 and 74309. First we will calculate the prime factors of 74290 and 74309.

Prime Factorization of 74290

Prime Factorization of 74309

Now multiplying the highest exponent prime factors to calculate the LCM of 74290 and 74309.

LCM(74290,74309) = 2¹ × 5¹ × 17¹ × 19¹ × 23¹ × 3911¹
LCM(74290,74309) = 290548190