What is the Least Common Multiple of 53945 and 53950?

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 53945 and 53950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53945 and 53950, than apply into the LCM equation.

GCF(53945,53950) = 5
LCM(53945,53950) = ( 53945 × 53950) / 5
LCM(53945,53950) = 2910332750 / 5
LCM(53945,53950) = 582066550

Least Common Multiple (LCM) of 53945 and 53950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53945 and 53950. First we will calculate the prime factors of 53945 and 53950.

Prime Factorization of 53945

Prime Factorization of 53950

Now multiplying the highest exponent prime factors to calculate the LCM of 53945 and 53950.

LCM(53945,53950) = 5² × 10789¹ × 2¹ × 13¹ × 83¹
LCM(53945,53950) = 582066550