What is the Least Common Multiple of 38540 and 38551?

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 38540 and 38551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38540 and 38551, than apply into the LCM equation.

GCF(38540,38551) = 1
LCM(38540,38551) = ( 38540 × 38551) / 1
LCM(38540,38551) = 1485755540 / 1
LCM(38540,38551) = 1485755540

Least Common Multiple (LCM) of 38540 and 38551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38540 and 38551. First we will calculate the prime factors of 38540 and 38551.

Prime Factorization of 38540

Prime Factorization of 38551

Now multiplying the highest exponent prime factors to calculate the LCM of 38540 and 38551.

LCM(38540,38551) = 2² × 5¹ × 41¹ × 47¹ × 19¹ × 2029¹
LCM(38540,38551) = 1485755540