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What is the Least Common Multiple of 10767 and 10778?

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 10767 and 10778 is 116046726.

LCM(10767,10778) = 116046726

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Least Common Multiple of 10767 and 10778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10767 and 10778, than apply into the LCM equation.

GCF(10767,10778) = 1
LCM(10767,10778) = ( 10767 × 10778) / 1
LCM(10767,10778) = 116046726 / 1
LCM(10767,10778) = 116046726

Least Common Multiple (LCM) of 10767 and 10778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10767 and 10778. First we will calculate the prime factors of 10767 and 10778.

Prime Factorization of 10767

Prime factors of 10767 are 3, 37, 97. Prime factorization of 10767 in exponential form is:

10767 = 31 × 371 × 971

Prime Factorization of 10778

Prime factors of 10778 are 2, 17, 317. Prime factorization of 10778 in exponential form is:

10778 = 21 × 171 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 10767 and 10778.

LCM(10767,10778) = 31 × 371 × 971 × 21 × 171 × 3171
LCM(10767,10778) = 116046726