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What is the Least Common Multiple of 10770 and 10780?

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 10770 and 10780 is 11610060.

LCM(10770,10780) = 11610060

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Least Common Multiple of 10770 and 10780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10770 and 10780, than apply into the LCM equation.

GCF(10770,10780) = 10
LCM(10770,10780) = ( 10770 × 10780) / 10
LCM(10770,10780) = 116100600 / 10
LCM(10770,10780) = 11610060

Least Common Multiple (LCM) of 10770 and 10780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10770 and 10780. First we will calculate the prime factors of 10770 and 10780.

Prime Factorization of 10770

Prime factors of 10770 are 2, 3, 5, 359. Prime factorization of 10770 in exponential form is:

10770 = 21 × 31 × 51 × 3591

Prime Factorization of 10780

Prime factors of 10780 are 2, 5, 7, 11. Prime factorization of 10780 in exponential form is:

10780 = 22 × 51 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 10770 and 10780.

LCM(10770,10780) = 22 × 31 × 51 × 3591 × 72 × 111
LCM(10770,10780) = 11610060