What is the Least Common Multiple of 15938 and 15954?

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 15938 and 15954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15938 and 15954, than apply into the LCM equation.

GCF(15938,15954) = 2
LCM(15938,15954) = ( 15938 × 15954) / 2
LCM(15938,15954) = 254274852 / 2
LCM(15938,15954) = 127137426

Least Common Multiple (LCM) of 15938 and 15954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15938 and 15954. First we will calculate the prime factors of 15938 and 15954.

Prime Factorization of 15938

Prime Factorization of 15954

Now multiplying the highest exponent prime factors to calculate the LCM of 15938 and 15954.

LCM(15938,15954) = 2¹ × 13¹ × 613¹ × 3¹ × 2659¹
LCM(15938,15954) = 127137426