What is the Least Common Multiple of 74289 and 74302?

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 74289 and 74302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74289 and 74302, than apply into the LCM equation.

GCF(74289,74302) = 1
LCM(74289,74302) = ( 74289 × 74302) / 1
LCM(74289,74302) = 5519821278 / 1
LCM(74289,74302) = 5519821278

Least Common Multiple (LCM) of 74289 and 74302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74289 and 74302. First we will calculate the prime factors of 74289 and 74302.

Prime Factorization of 74289

Prime Factorization of 74302

Now multiplying the highest exponent prime factors to calculate the LCM of 74289 and 74302.

LCM(74289,74302) = 3¹ × 24763¹ × 2¹ × 97¹ × 383¹
LCM(74289,74302) = 5519821278