What is the Least Common Multiple of 38690 and 38695?

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 38690 and 38695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38690 and 38695, than apply into the LCM equation.

GCF(38690,38695) = 5
LCM(38690,38695) = ( 38690 × 38695) / 5
LCM(38690,38695) = 1497109550 / 5
LCM(38690,38695) = 299421910

Least Common Multiple (LCM) of 38690 and 38695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38690 and 38695. First we will calculate the prime factors of 38690 and 38695.

Prime Factorization of 38690

Prime Factorization of 38695

Now multiplying the highest exponent prime factors to calculate the LCM of 38690 and 38695.

LCM(38690,38695) = 2¹ × 5¹ × 53¹ × 73¹ × 71¹ × 109¹
LCM(38690,38695) = 299421910