What is the Least Common Multiple of 73938 and 73958?

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 73938 and 73958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73938 and 73958, than apply into the LCM equation.

GCF(73938,73958) = 2
LCM(73938,73958) = ( 73938 × 73958) / 2
LCM(73938,73958) = 5468306604 / 2
LCM(73938,73958) = 2734153302

Least Common Multiple (LCM) of 73938 and 73958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73938 and 73958. First we will calculate the prime factors of 73938 and 73958.

Prime Factorization of 73938

Prime Factorization of 73958

Now multiplying the highest exponent prime factors to calculate the LCM of 73938 and 73958.

LCM(73938,73958) = 2¹ × 3¹ × 12323¹ × 36979¹
LCM(73938,73958) = 2734153302