GCF and LCM Calculator Logo

What is the Least Common Multiple of 87274 and 87283?

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 87274 and 87283 is 7617536542.

LCM(87274,87283) = 7617536542

LCM Calculator and
and

Least Common Multiple of 87274 and 87283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87274 and 87283, than apply into the LCM equation.

GCF(87274,87283) = 1
LCM(87274,87283) = ( 87274 × 87283) / 1
LCM(87274,87283) = 7617536542 / 1
LCM(87274,87283) = 7617536542

Least Common Multiple (LCM) of 87274 and 87283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87274 and 87283. First we will calculate the prime factors of 87274 and 87283.

Prime Factorization of 87274

Prime factors of 87274 are 2, 11, 3967. Prime factorization of 87274 in exponential form is:

87274 = 21 × 111 × 39671

Prime Factorization of 87283

Prime factors of 87283 are 7, 37, 337. Prime factorization of 87283 in exponential form is:

87283 = 71 × 371 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 87274 and 87283.

LCM(87274,87283) = 21 × 111 × 39671 × 71 × 371 × 3371
LCM(87274,87283) = 7617536542