GCF and LCM Calculator Logo

What is the Least Common Multiple of 73223 and 73231?

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 (LCM) of 73223 and 73231 is 5362193513.

LCM(73223,73231) = 5362193513

LCM Calculator and
and

Least Common Multiple of 73223 and 73231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73223 and 73231, than apply into the LCM equation.

GCF(73223,73231) = 1
LCM(73223,73231) = ( 73223 × 73231) / 1
LCM(73223,73231) = 5362193513 / 1
LCM(73223,73231) = 5362193513

Least Common Multiple (LCM) of 73223 and 73231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73223 and 73231. First we will calculate the prime factors of 73223 and 73231.

Prime Factorization of 73223

Prime factors of 73223 are 37, 1979. Prime factorization of 73223 in exponential form is:

73223 = 371 × 19791

Prime Factorization of 73231

Prime factors of 73231 are 67, 1093. Prime factorization of 73231 in exponential form is:

73231 = 671 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 73223 and 73231.

LCM(73223,73231) = 371 × 19791 × 671 × 10931
LCM(73223,73231) = 5362193513