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What is the Least Common Multiple of 9767 and 9780?

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 9767 and 9780 is 95521260.

LCM(9767,9780) = 95521260

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Least Common Multiple of 9767 and 9780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9767 and 9780, than apply into the LCM equation.

GCF(9767,9780) = 1
LCM(9767,9780) = ( 9767 × 9780) / 1
LCM(9767,9780) = 95521260 / 1
LCM(9767,9780) = 95521260

Least Common Multiple (LCM) of 9767 and 9780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9767 and 9780. First we will calculate the prime factors of 9767 and 9780.

Prime Factorization of 9767

Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:

9767 = 97671

Prime Factorization of 9780

Prime factors of 9780 are 2, 3, 5, 163. Prime factorization of 9780 in exponential form is:

9780 = 22 × 31 × 51 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9767 and 9780.

LCM(9767,9780) = 97671 × 22 × 31 × 51 × 1631
LCM(9767,9780) = 95521260