What is the Least Common Multiple of 50040 and 50052?

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 50040 and 50052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50040 and 50052, than apply into the LCM equation.

GCF(50040,50052) = 12
LCM(50040,50052) = ( 50040 × 50052) / 12
LCM(50040,50052) = 2504602080 / 12
LCM(50040,50052) = 208716840

Least Common Multiple (LCM) of 50040 and 50052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50040 and 50052. First we will calculate the prime factors of 50040 and 50052.

Prime Factorization of 50040

Prime Factorization of 50052

Now multiplying the highest exponent prime factors to calculate the LCM of 50040 and 50052.

LCM(50040,50052) = 2³ × 3² × 5¹ × 139¹ × 43¹ × 97¹
LCM(50040,50052) = 208716840