What is the Least Common Multiple of 74306 and 74324?

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 74306 and 74324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74306 and 74324, than apply into the LCM equation.

GCF(74306,74324) = 2
LCM(74306,74324) = ( 74306 × 74324) / 2
LCM(74306,74324) = 5522719144 / 2
LCM(74306,74324) = 2761359572

Least Common Multiple (LCM) of 74306 and 74324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74306 and 74324. First we will calculate the prime factors of 74306 and 74324.

Prime Factorization of 74306

Prime Factorization of 74324

Now multiplying the highest exponent prime factors to calculate the LCM of 74306 and 74324.

LCM(74306,74324) = 2² × 53¹ × 701¹ × 17¹ × 1093¹
LCM(74306,74324) = 2761359572