What is the Least Common Multiple of 55040 and 55050?

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 55040 and 55050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55040 and 55050, than apply into the LCM equation.

GCF(55040,55050) = 10
LCM(55040,55050) = ( 55040 × 55050) / 10
LCM(55040,55050) = 3029952000 / 10
LCM(55040,55050) = 302995200

Least Common Multiple (LCM) of 55040 and 55050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55040 and 55050. First we will calculate the prime factors of 55040 and 55050.

Prime Factorization of 55040

Prime Factorization of 55050

Now multiplying the highest exponent prime factors to calculate the LCM of 55040 and 55050.

LCM(55040,55050) = 2⁸ × 5² × 43¹ × 3¹ × 367¹
LCM(55040,55050) = 302995200