What is the Least Common Multiple of 38490 and 38495?

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 38490 and 38495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38490 and 38495, than apply into the LCM equation.

GCF(38490,38495) = 5
LCM(38490,38495) = ( 38490 × 38495) / 5
LCM(38490,38495) = 1481672550 / 5
LCM(38490,38495) = 296334510

Least Common Multiple (LCM) of 38490 and 38495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38490 and 38495. First we will calculate the prime factors of 38490 and 38495.

Prime Factorization of 38490

Prime Factorization of 38495

Now multiplying the highest exponent prime factors to calculate the LCM of 38490 and 38495.

LCM(38490,38495) = 2¹ × 3¹ × 5¹ × 1283¹ × 7699¹
LCM(38490,38495) = 296334510