What is the Least Common Multiple of 72181 and 72193?

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 72181 and 72193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72181 and 72193, than apply into the LCM equation.

GCF(72181,72193) = 1
LCM(72181,72193) = ( 72181 × 72193) / 1
LCM(72181,72193) = 5210962933 / 1
LCM(72181,72193) = 5210962933

Least Common Multiple (LCM) of 72181 and 72193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72181 and 72193. First we will calculate the prime factors of 72181 and 72193.

Prime Factorization of 72181

Prime Factorization of 72193

Now multiplying the highest exponent prime factors to calculate the LCM of 72181 and 72193.

LCM(72181,72193) = 19¹ × 29¹ × 131¹ × 11¹ × 6563¹
LCM(72181,72193) = 5210962933