What is the Least Common Multiple of 38945 and 38963?

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 38945 and 38963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38945 and 38963, than apply into the LCM equation.

GCF(38945,38963) = 1
LCM(38945,38963) = ( 38945 × 38963) / 1
LCM(38945,38963) = 1517414035 / 1
LCM(38945,38963) = 1517414035

Least Common Multiple (LCM) of 38945 and 38963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38945 and 38963. First we will calculate the prime factors of 38945 and 38963.

Prime Factorization of 38945

Prime Factorization of 38963

Now multiplying the highest exponent prime factors to calculate the LCM of 38945 and 38963.

LCM(38945,38963) = 5¹ × 7789¹ × 47¹ × 829¹
LCM(38945,38963) = 1517414035