What is the Least Common Multiple of 69214 and 69229?

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 69214 and 69229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69214 and 69229, than apply into the LCM equation.

GCF(69214,69229) = 1
LCM(69214,69229) = ( 69214 × 69229) / 1
LCM(69214,69229) = 4791616006 / 1
LCM(69214,69229) = 4791616006

Least Common Multiple (LCM) of 69214 and 69229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69214 and 69229. First we will calculate the prime factors of 69214 and 69229.

Prime Factorization of 69214

Prime Factorization of 69229

Now multiplying the highest exponent prime factors to calculate the LCM of 69214 and 69229.

LCM(69214,69229) = 2¹ × 34607¹ × 107¹ × 647¹
LCM(69214,69229) = 4791616006