GCF and LCM Calculator Logo

What is the Least Common Multiple of 10877 and 10888?

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 10877 and 10888 is 118428776.

LCM(10877,10888) = 118428776

LCM Calculator and
and

Least Common Multiple of 10877 and 10888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10877 and 10888, than apply into the LCM equation.

GCF(10877,10888) = 1
LCM(10877,10888) = ( 10877 × 10888) / 1
LCM(10877,10888) = 118428776 / 1
LCM(10877,10888) = 118428776

Least Common Multiple (LCM) of 10877 and 10888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10877 and 10888. First we will calculate the prime factors of 10877 and 10888.

Prime Factorization of 10877

Prime factors of 10877 are 73, 149. Prime factorization of 10877 in exponential form is:

10877 = 731 × 1491

Prime Factorization of 10888

Prime factors of 10888 are 2, 1361. Prime factorization of 10888 in exponential form is:

10888 = 23 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 10877 and 10888.

LCM(10877,10888) = 731 × 1491 × 23 × 13611
LCM(10877,10888) = 118428776