GCF and LCM Calculator Logo

What is the Least Common Multiple of 76887 and 76907?

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 76887 and 76907 is 5913148509.

LCM(76887,76907) = 5913148509

LCM Calculator and
and

Least Common Multiple of 76887 and 76907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76887 and 76907, than apply into the LCM equation.

GCF(76887,76907) = 1
LCM(76887,76907) = ( 76887 × 76907) / 1
LCM(76887,76907) = 5913148509 / 1
LCM(76887,76907) = 5913148509

Least Common Multiple (LCM) of 76887 and 76907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76887 and 76907. First we will calculate the prime factors of 76887 and 76907.

Prime Factorization of 76887

Prime factors of 76887 are 3, 8543. Prime factorization of 76887 in exponential form is:

76887 = 32 × 85431

Prime Factorization of 76907

Prime factors of 76907 are 76907. Prime factorization of 76907 in exponential form is:

76907 = 769071

Now multiplying the highest exponent prime factors to calculate the LCM of 76887 and 76907.

LCM(76887,76907) = 32 × 85431 × 769071
LCM(76887,76907) = 5913148509