What is the Least Common Multiple of 74229 and 74243?

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 74229 and 74243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74229 and 74243, than apply into the LCM equation.

GCF(74229,74243) = 1
LCM(74229,74243) = ( 74229 × 74243) / 1
LCM(74229,74243) = 5510983647 / 1
LCM(74229,74243) = 5510983647

Least Common Multiple (LCM) of 74229 and 74243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74229 and 74243. First we will calculate the prime factors of 74229 and 74243.

Prime Factorization of 74229

Prime Factorization of 74243

Now multiplying the highest exponent prime factors to calculate the LCM of 74229 and 74243.

LCM(74229,74243) = 3¹ × 109¹ × 227¹ × 13¹ × 5711¹
LCM(74229,74243) = 5510983647