What is the Least Common Multiple of 72969 and 72973?

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 72969 and 72973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72969 and 72973, than apply into the LCM equation.

GCF(72969,72973) = 1
LCM(72969,72973) = ( 72969 × 72973) / 1
LCM(72969,72973) = 5324766837 / 1
LCM(72969,72973) = 5324766837

Least Common Multiple (LCM) of 72969 and 72973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72969 and 72973. First we will calculate the prime factors of 72969 and 72973.

Prime Factorization of 72969

Prime Factorization of 72973

Now multiplying the highest exponent prime factors to calculate the LCM of 72969 and 72973.

LCM(72969,72973) = 3¹ × 13¹ × 1871¹ × 72973¹
LCM(72969,72973) = 5324766837