What is the Least Common Multiple of 10680 and 10699?

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 10680 and 10699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10680 and 10699, than apply into the LCM equation.

GCF(10680,10699) = 1
LCM(10680,10699) = ( 10680 × 10699) / 1
LCM(10680,10699) = 114265320 / 1
LCM(10680,10699) = 114265320

Least Common Multiple (LCM) of 10680 and 10699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10680 and 10699. First we will calculate the prime factors of 10680 and 10699.

Prime Factorization of 10680

Prime Factorization of 10699

Now multiplying the highest exponent prime factors to calculate the LCM of 10680 and 10699.

LCM(10680,10699) = 2³ × 3¹ × 5¹ × 89¹ × 13¹ × 823¹
LCM(10680,10699) = 114265320