What is the Least Common Multiple of 45890 and 45903?

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 45890 and 45903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45890 and 45903, than apply into the LCM equation.

GCF(45890,45903) = 13
LCM(45890,45903) = ( 45890 × 45903) / 13
LCM(45890,45903) = 2106488670 / 13
LCM(45890,45903) = 162037590

Least Common Multiple (LCM) of 45890 and 45903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45890 and 45903. First we will calculate the prime factors of 45890 and 45903.

Prime Factorization of 45890

Prime Factorization of 45903

Now multiplying the highest exponent prime factors to calculate the LCM of 45890 and 45903.

LCM(45890,45903) = 2¹ × 5¹ × 13¹ × 353¹ × 3¹ × 11¹ × 107¹
LCM(45890,45903) = 162037590