What is the Least Common Multiple of 38090 and 38103?

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 38090 and 38103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38090 and 38103, than apply into the LCM equation.

GCF(38090,38103) = 13
LCM(38090,38103) = ( 38090 × 38103) / 13
LCM(38090,38103) = 1451343270 / 13
LCM(38090,38103) = 111641790

Least Common Multiple (LCM) of 38090 and 38103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38090 and 38103. First we will calculate the prime factors of 38090 and 38103.

Prime Factorization of 38090

Prime Factorization of 38103

Now multiplying the highest exponent prime factors to calculate the LCM of 38090 and 38103.

LCM(38090,38103) = 2¹ × 5¹ × 13¹ × 293¹ × 3¹ × 977¹
LCM(38090,38103) = 111641790