What is the Least Common Multiple of 41214 and 41229?

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 41214 and 41229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41214 and 41229, than apply into the LCM equation.

GCF(41214,41229) = 3
LCM(41214,41229) = ( 41214 × 41229) / 3
LCM(41214,41229) = 1699212006 / 3
LCM(41214,41229) = 566404002

Least Common Multiple (LCM) of 41214 and 41229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41214 and 41229. First we will calculate the prime factors of 41214 and 41229.

Prime Factorization of 41214

Prime Factorization of 41229

Now multiplying the highest exponent prime factors to calculate the LCM of 41214 and 41229.

LCM(41214,41229) = 2¹ × 3⁴ × 6869¹ × 509¹
LCM(41214,41229) = 566404002