What is the Least Common Multiple of 10780 and 10787?

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 10780 and 10787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10780 and 10787, than apply into the LCM equation.

GCF(10780,10787) = 7
LCM(10780,10787) = ( 10780 × 10787) / 7
LCM(10780,10787) = 116283860 / 7
LCM(10780,10787) = 16611980

Least Common Multiple (LCM) of 10780 and 10787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10780 and 10787. First we will calculate the prime factors of 10780 and 10787.

Prime Factorization of 10780

Prime Factorization of 10787

Now multiplying the highest exponent prime factors to calculate the LCM of 10780 and 10787.

LCM(10780,10787) = 2² × 5¹ × 7² × 11¹ × 23¹ × 67¹
LCM(10780,10787) = 16611980