What is the Least Common Multiple of 45930 and 45950?

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 45930 and 45950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45930 and 45950, than apply into the LCM equation.

GCF(45930,45950) = 10
LCM(45930,45950) = ( 45930 × 45950) / 10
LCM(45930,45950) = 2110483500 / 10
LCM(45930,45950) = 211048350

Least Common Multiple (LCM) of 45930 and 45950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45930 and 45950. First we will calculate the prime factors of 45930 and 45950.

Prime Factorization of 45930

Prime Factorization of 45950

Now multiplying the highest exponent prime factors to calculate the LCM of 45930 and 45950.

LCM(45930,45950) = 2¹ × 3¹ × 5² × 1531¹ × 919¹
LCM(45930,45950) = 211048350