What is the Least Common Multiple of 38262 and 38269?

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 38262 and 38269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38262 and 38269, than apply into the LCM equation.

GCF(38262,38269) = 7
LCM(38262,38269) = ( 38262 × 38269) / 7
LCM(38262,38269) = 1464248478 / 7
LCM(38262,38269) = 209178354

Least Common Multiple (LCM) of 38262 and 38269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38262 and 38269. First we will calculate the prime factors of 38262 and 38269.

Prime Factorization of 38262

Prime Factorization of 38269

Now multiplying the highest exponent prime factors to calculate the LCM of 38262 and 38269.

LCM(38262,38269) = 2¹ × 3¹ × 7² × 911¹ × 11¹ × 71¹
LCM(38262,38269) = 209178354