What is the Least Common Multiple of 72389 and 72393?

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 72389 and 72393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72389 and 72393, than apply into the LCM equation.

GCF(72389,72393) = 1
LCM(72389,72393) = ( 72389 × 72393) / 1
LCM(72389,72393) = 5240456877 / 1
LCM(72389,72393) = 5240456877

Least Common Multiple (LCM) of 72389 and 72393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72389 and 72393. First we will calculate the prime factors of 72389 and 72393.

Prime Factorization of 72389

Prime Factorization of 72393

Now multiplying the highest exponent prime factors to calculate the LCM of 72389 and 72393.

LCM(72389,72393) = 191¹ × 379¹ × 3¹ × 59¹ × 409¹
LCM(72389,72393) = 5240456877