GCF and LCM Calculator Logo

What is the Least Common Multiple of 8755 and 8766?

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 8755 and 8766 is 76746330.

LCM(8755,8766) = 76746330

LCM Calculator and
and

Least Common Multiple of 8755 and 8766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8755 and 8766, than apply into the LCM equation.

GCF(8755,8766) = 1
LCM(8755,8766) = ( 8755 × 8766) / 1
LCM(8755,8766) = 76746330 / 1
LCM(8755,8766) = 76746330

Least Common Multiple (LCM) of 8755 and 8766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8755 and 8766. First we will calculate the prime factors of 8755 and 8766.

Prime Factorization of 8755

Prime factors of 8755 are 5, 17, 103. Prime factorization of 8755 in exponential form is:

8755 = 51 × 171 × 1031

Prime Factorization of 8766

Prime factors of 8766 are 2, 3, 487. Prime factorization of 8766 in exponential form is:

8766 = 21 × 32 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 8755 and 8766.

LCM(8755,8766) = 51 × 171 × 1031 × 21 × 32 × 4871
LCM(8755,8766) = 76746330