GCF and LCM Calculator Logo

What is the Least Common Multiple of 73227 and 73246?

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 73227 and 73246 is 5363584842.

LCM(73227,73246) = 5363584842

LCM Calculator and
and

Least Common Multiple of 73227 and 73246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73227 and 73246, than apply into the LCM equation.

GCF(73227,73246) = 1
LCM(73227,73246) = ( 73227 × 73246) / 1
LCM(73227,73246) = 5363584842 / 1
LCM(73227,73246) = 5363584842

Least Common Multiple (LCM) of 73227 and 73246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73227 and 73246. First we will calculate the prime factors of 73227 and 73246.

Prime Factorization of 73227

Prime factors of 73227 are 3, 7, 11, 317. Prime factorization of 73227 in exponential form is:

73227 = 31 × 71 × 111 × 3171

Prime Factorization of 73246

Prime factors of 73246 are 2, 53, 691. Prime factorization of 73246 in exponential form is:

73246 = 21 × 531 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 73227 and 73246.

LCM(73227,73246) = 31 × 71 × 111 × 3171 × 21 × 531 × 6911
LCM(73227,73246) = 5363584842