What is the Least Common Multiple of 74229 and 74237?

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 74237 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 74237, than apply into the LCM equation.

GCF(74229,74237) = 1
LCM(74229,74237) = ( 74229 × 74237) / 1
LCM(74229,74237) = 5510538273 / 1
LCM(74229,74237) = 5510538273

Least Common Multiple (LCM) of 74229 and 74237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74229 and 74237. First we will calculate the prime factors of 74229 and 74237.

Prime Factorization of 74229

Prime Factorization of 74237

Now multiplying the highest exponent prime factors to calculate the LCM of 74229 and 74237.

LCM(74229,74237) = 3¹ × 109¹ × 227¹ × 61¹ × 1217¹
LCM(74229,74237) = 5510538273