What is the Least Common Multiple of 50190 and 50208?

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 50190 and 50208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50190 and 50208, than apply into the LCM equation.

GCF(50190,50208) = 6
LCM(50190,50208) = ( 50190 × 50208) / 6
LCM(50190,50208) = 2519939520 / 6
LCM(50190,50208) = 419989920

Least Common Multiple (LCM) of 50190 and 50208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50190 and 50208. First we will calculate the prime factors of 50190 and 50208.

Prime Factorization of 50190

Prime Factorization of 50208

Now multiplying the highest exponent prime factors to calculate the LCM of 50190 and 50208.

LCM(50190,50208) = 2⁵ × 3¹ × 5¹ × 7¹ × 239¹ × 523¹
LCM(50190,50208) = 419989920