GCF and LCM Calculator Logo

What is the Least Common Multiple of 87329 and 87333?

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 87329 and 87333 is 7626703557.

LCM(87329,87333) = 7626703557

LCM Calculator and
and

Least Common Multiple of 87329 and 87333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87329 and 87333, than apply into the LCM equation.

GCF(87329,87333) = 1
LCM(87329,87333) = ( 87329 × 87333) / 1
LCM(87329,87333) = 7626703557 / 1
LCM(87329,87333) = 7626703557

Least Common Multiple (LCM) of 87329 and 87333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87329 and 87333. First we will calculate the prime factors of 87329 and 87333.

Prime Factorization of 87329

Prime factors of 87329 are 11, 17, 467. Prime factorization of 87329 in exponential form is:

87329 = 111 × 171 × 4671

Prime Factorization of 87333

Prime factors of 87333 are 3, 43, 677. Prime factorization of 87333 in exponential form is:

87333 = 31 × 431 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 87329 and 87333.

LCM(87329,87333) = 111 × 171 × 4671 × 31 × 431 × 6771
LCM(87329,87333) = 7626703557