What is the Least Common Multiple of 50421 and 50435?

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 50421 and 50435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50421 and 50435, than apply into the LCM equation.

GCF(50421,50435) = 7
LCM(50421,50435) = ( 50421 × 50435) / 7
LCM(50421,50435) = 2542983135 / 7
LCM(50421,50435) = 363283305

Least Common Multiple (LCM) of 50421 and 50435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50421 and 50435. First we will calculate the prime factors of 50421 and 50435.

Prime Factorization of 50421

Prime Factorization of 50435

Now multiplying the highest exponent prime factors to calculate the LCM of 50421 and 50435.

LCM(50421,50435) = 3¹ × 7⁵ × 5¹ × 11¹ × 131¹
LCM(50421,50435) = 363283305