What is the Least Common Multiple of 73945 and 73956?

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 73945 and 73956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73945 and 73956, than apply into the LCM equation.

GCF(73945,73956) = 1
LCM(73945,73956) = ( 73945 × 73956) / 1
LCM(73945,73956) = 5468676420 / 1
LCM(73945,73956) = 5468676420

Least Common Multiple (LCM) of 73945 and 73956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73945 and 73956. First we will calculate the prime factors of 73945 and 73956.

Prime Factorization of 73945

Prime Factorization of 73956

Now multiplying the highest exponent prime factors to calculate the LCM of 73945 and 73956.

LCM(73945,73956) = 5¹ × 23¹ × 643¹ × 2² × 3¹ × 6163¹
LCM(73945,73956) = 5468676420