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What is the Least Common Multiple of 28763 and 28770?

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 28763 and 28770 is 118215930.

LCM(28763,28770) = 118215930

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Least Common Multiple of 28763 and 28770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28763 and 28770, than apply into the LCM equation.

GCF(28763,28770) = 7
LCM(28763,28770) = ( 28763 × 28770) / 7
LCM(28763,28770) = 827511510 / 7
LCM(28763,28770) = 118215930

Least Common Multiple (LCM) of 28763 and 28770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28763 and 28770. First we will calculate the prime factors of 28763 and 28770.

Prime Factorization of 28763

Prime factors of 28763 are 7, 587. Prime factorization of 28763 in exponential form is:

28763 = 72 × 5871

Prime Factorization of 28770

Prime factors of 28770 are 2, 3, 5, 7, 137. Prime factorization of 28770 in exponential form is:

28770 = 21 × 31 × 51 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 28763 and 28770.

LCM(28763,28770) = 72 × 5871 × 21 × 31 × 51 × 1371
LCM(28763,28770) = 118215930