What is the Least Common Multiple of 38794 and 38808?

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 38794 and 38808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38794 and 38808, than apply into the LCM equation.

GCF(38794,38808) = 14
LCM(38794,38808) = ( 38794 × 38808) / 14
LCM(38794,38808) = 1505517552 / 14
LCM(38794,38808) = 107536968

Least Common Multiple (LCM) of 38794 and 38808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38794 and 38808. First we will calculate the prime factors of 38794 and 38808.

Prime Factorization of 38794

Prime Factorization of 38808

Now multiplying the highest exponent prime factors to calculate the LCM of 38794 and 38808.

LCM(38794,38808) = 2³ × 7² × 17¹ × 163¹ × 3² × 11¹
LCM(38794,38808) = 107536968