What is the Least Common Multiple of 38292 and 38297?

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 38292 and 38297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38292 and 38297, than apply into the LCM equation.

GCF(38292,38297) = 1
LCM(38292,38297) = ( 38292 × 38297) / 1
LCM(38292,38297) = 1466468724 / 1
LCM(38292,38297) = 1466468724

Least Common Multiple (LCM) of 38292 and 38297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38292 and 38297. First we will calculate the prime factors of 38292 and 38297.

Prime Factorization of 38292

Prime Factorization of 38297

Now multiplying the highest exponent prime factors to calculate the LCM of 38292 and 38297.

LCM(38292,38297) = 2² × 3¹ × 3191¹ × 7¹ × 5471¹
LCM(38292,38297) = 1466468724