What is the Least Common Multiple of 38274 and 38288?

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 38274 and 38288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38274 and 38288, than apply into the LCM equation.

GCF(38274,38288) = 2
LCM(38274,38288) = ( 38274 × 38288) / 2
LCM(38274,38288) = 1465434912 / 2
LCM(38274,38288) = 732717456

Least Common Multiple (LCM) of 38274 and 38288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38274 and 38288. First we will calculate the prime factors of 38274 and 38288.

Prime Factorization of 38274

Prime Factorization of 38288

Now multiplying the highest exponent prime factors to calculate the LCM of 38274 and 38288.

LCM(38274,38288) = 2⁴ × 3¹ × 6379¹ × 2393¹
LCM(38274,38288) = 732717456