What is the Least Common Multiple of 9765 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 of 9765 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 9765 and 9780, than apply into the LCM equation.

GCF(9765,9780) = 15
LCM(9765,9780) = ( 9765 × 9780) / 15
LCM(9765,9780) = 95501700 / 15
LCM(9765,9780) = 6366780

Least Common Multiple (LCM) of 9765 and 9780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9765 and 9780. First we will calculate the prime factors of 9765 and 9780.

Prime Factorization of 9765

Prime Factorization of 9780

Now multiplying the highest exponent prime factors to calculate the LCM of 9765 and 9780.

LCM(9765,9780) = 3² × 5¹ × 7¹ × 31¹ × 2² × 163¹
LCM(9765,9780) = 6366780