What is the Least Common Multiple of 16420 and 16435?

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 16420 and 16435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16420 and 16435, than apply into the LCM equation.

GCF(16420,16435) = 5
LCM(16420,16435) = ( 16420 × 16435) / 5
LCM(16420,16435) = 269862700 / 5
LCM(16420,16435) = 53972540

Least Common Multiple (LCM) of 16420 and 16435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16420 and 16435. First we will calculate the prime factors of 16420 and 16435.

Prime Factorization of 16420

Prime Factorization of 16435

Now multiplying the highest exponent prime factors to calculate the LCM of 16420 and 16435.

LCM(16420,16435) = 2² × 5¹ × 821¹ × 19¹ × 173¹
LCM(16420,16435) = 53972540