What is the Least Common Multiple of 34262 and 34269?

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 34262 and 34269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34262 and 34269, than apply into the LCM equation.

GCF(34262,34269) = 1
LCM(34262,34269) = ( 34262 × 34269) / 1
LCM(34262,34269) = 1174124478 / 1
LCM(34262,34269) = 1174124478

Least Common Multiple (LCM) of 34262 and 34269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34262 and 34269. First we will calculate the prime factors of 34262 and 34269.

Prime Factorization of 34262

Prime Factorization of 34269

Now multiplying the highest exponent prime factors to calculate the LCM of 34262 and 34269.

LCM(34262,34269) = 2¹ × 37¹ × 463¹ × 3¹ × 11423¹
LCM(34262,34269) = 1174124478