What is the Least Common Multiple of 19958 and 19976?

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 19958 and 19976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19958 and 19976, than apply into the LCM equation.

GCF(19958,19976) = 2
LCM(19958,19976) = ( 19958 × 19976) / 2
LCM(19958,19976) = 398681008 / 2
LCM(19958,19976) = 199340504

Least Common Multiple (LCM) of 19958 and 19976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19958 and 19976. First we will calculate the prime factors of 19958 and 19976.

Prime Factorization of 19958

Prime Factorization of 19976

Now multiplying the highest exponent prime factors to calculate the LCM of 19958 and 19976.

LCM(19958,19976) = 2³ × 17¹ × 587¹ × 11¹ × 227¹
LCM(19958,19976) = 199340504