What is the Least Common Multiple of 89954 and 89958?

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 89954 and 89958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89954 and 89958, than apply into the LCM equation.

GCF(89954,89958) = 2
LCM(89954,89958) = ( 89954 × 89958) / 2
LCM(89954,89958) = 8092081932 / 2
LCM(89954,89958) = 4046040966

Least Common Multiple (LCM) of 89954 and 89958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89954 and 89958. First we will calculate the prime factors of 89954 and 89958.

Prime Factorization of 89954

Prime Factorization of 89958

Now multiplying the highest exponent prime factors to calculate the LCM of 89954 and 89958.

LCM(89954,89958) = 2¹ × 41¹ × 1097¹ × 3¹ × 11¹ × 29¹ × 47¹
LCM(89954,89958) = 4046040966