GCF and LCM Calculator Logo

What is the Least Common Multiple of 72247 and 72254?

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 72247 and 72254 is 745733534.

LCM(72247,72254) = 745733534

LCM Calculator and
and

Least Common Multiple of 72247 and 72254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72247 and 72254, than apply into the LCM equation.

GCF(72247,72254) = 7
LCM(72247,72254) = ( 72247 × 72254) / 7
LCM(72247,72254) = 5220134738 / 7
LCM(72247,72254) = 745733534

Least Common Multiple (LCM) of 72247 and 72254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72247 and 72254. First we will calculate the prime factors of 72247 and 72254.

Prime Factorization of 72247

Prime factors of 72247 are 7, 10321. Prime factorization of 72247 in exponential form is:

72247 = 71 × 103211

Prime Factorization of 72254

Prime factors of 72254 are 2, 7, 13, 397. Prime factorization of 72254 in exponential form is:

72254 = 21 × 71 × 131 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 72247 and 72254.

LCM(72247,72254) = 71 × 103211 × 21 × 131 × 3971
LCM(72247,72254) = 745733534