What is the Least Common Multiple of 17954 and 17962?

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 17954 and 17962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17954 and 17962, than apply into the LCM equation.

GCF(17954,17962) = 2
LCM(17954,17962) = ( 17954 × 17962) / 2
LCM(17954,17962) = 322489748 / 2
LCM(17954,17962) = 161244874

Least Common Multiple (LCM) of 17954 and 17962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17954 and 17962. First we will calculate the prime factors of 17954 and 17962.

Prime Factorization of 17954

Prime Factorization of 17962

Now multiplying the highest exponent prime factors to calculate the LCM of 17954 and 17962.

LCM(17954,17962) = 2¹ × 47¹ × 191¹ × 7¹ × 1283¹
LCM(17954,17962) = 161244874