What is the Least Common Multiple of 74009 and 74022?

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 74009 and 74022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74009 and 74022, than apply into the LCM equation.

GCF(74009,74022) = 13
LCM(74009,74022) = ( 74009 × 74022) / 13
LCM(74009,74022) = 5478294198 / 13
LCM(74009,74022) = 421407246

Least Common Multiple (LCM) of 74009 and 74022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74009 and 74022. First we will calculate the prime factors of 74009 and 74022.

Prime Factorization of 74009

Prime Factorization of 74022

Now multiplying the highest exponent prime factors to calculate the LCM of 74009 and 74022.

LCM(74009,74022) = 13² × 5693¹ × 2¹ × 3¹ × 73¹
LCM(74009,74022) = 421407246