GCF and LCM Calculator Logo

What is the Least Common Multiple of 87838 and 87851?

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 87838 and 87851 is 7716656138.

LCM(87838,87851) = 7716656138

LCM Calculator and
and

Least Common Multiple of 87838 and 87851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87838 and 87851, than apply into the LCM equation.

GCF(87838,87851) = 1
LCM(87838,87851) = ( 87838 × 87851) / 1
LCM(87838,87851) = 7716656138 / 1
LCM(87838,87851) = 7716656138

Least Common Multiple (LCM) of 87838 and 87851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87838 and 87851. First we will calculate the prime factors of 87838 and 87851.

Prime Factorization of 87838

Prime factors of 87838 are 2, 37, 1187. Prime factorization of 87838 in exponential form is:

87838 = 21 × 371 × 11871

Prime Factorization of 87851

Prime factors of 87851 are 59, 1489. Prime factorization of 87851 in exponential form is:

87851 = 591 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 87838 and 87851.

LCM(87838,87851) = 21 × 371 × 11871 × 591 × 14891
LCM(87838,87851) = 7716656138