What is the Least Common Multiple of 38928 and 38945?

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 38928 and 38945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38928 and 38945, than apply into the LCM equation.

GCF(38928,38945) = 1
LCM(38928,38945) = ( 38928 × 38945) / 1
LCM(38928,38945) = 1516050960 / 1
LCM(38928,38945) = 1516050960

Least Common Multiple (LCM) of 38928 and 38945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38928 and 38945. First we will calculate the prime factors of 38928 and 38945.

Prime Factorization of 38928

Prime Factorization of 38945

Now multiplying the highest exponent prime factors to calculate the LCM of 38928 and 38945.

LCM(38928,38945) = 2⁴ × 3¹ × 811¹ × 5¹ × 7789¹
LCM(38928,38945) = 1516050960