What is the Least Common Multiple of 69966 and 69973?

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 69966 and 69973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69966 and 69973, than apply into the LCM equation.

GCF(69966,69973) = 1
LCM(69966,69973) = ( 69966 × 69973) / 1
LCM(69966,69973) = 4895730918 / 1
LCM(69966,69973) = 4895730918

Least Common Multiple (LCM) of 69966 and 69973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69966 and 69973. First we will calculate the prime factors of 69966 and 69973.

Prime Factorization of 69966

Prime Factorization of 69973

Now multiplying the highest exponent prime factors to calculate the LCM of 69966 and 69973.

LCM(69966,69973) = 2¹ × 3² × 13² × 23¹ × 167¹ × 419¹
LCM(69966,69973) = 4895730918