What is the Least Common Multiple of 50420 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 50420 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 50420 and 50435, than apply into the LCM equation.

GCF(50420,50435) = 5
LCM(50420,50435) = ( 50420 × 50435) / 5
LCM(50420,50435) = 2542932700 / 5
LCM(50420,50435) = 508586540

Least Common Multiple (LCM) of 50420 and 50435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50420 and 50435. First we will calculate the prime factors of 50420 and 50435.

Prime Factorization of 50420

Prime Factorization of 50435

Now multiplying the highest exponent prime factors to calculate the LCM of 50420 and 50435.

LCM(50420,50435) = 2² × 5¹ × 2521¹ × 7¹ × 11¹ × 131¹
LCM(50420,50435) = 508586540