What is the Least Common Multiple of 29680 and 29689?

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 29680 and 29689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29680 and 29689, than apply into the LCM equation.

GCF(29680,29689) = 1
LCM(29680,29689) = ( 29680 × 29689) / 1
LCM(29680,29689) = 881169520 / 1
LCM(29680,29689) = 881169520

Least Common Multiple (LCM) of 29680 and 29689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29680 and 29689. First we will calculate the prime factors of 29680 and 29689.

Prime Factorization of 29680

Prime Factorization of 29689

Now multiplying the highest exponent prime factors to calculate the LCM of 29680 and 29689.

LCM(29680,29689) = 2⁴ × 5¹ × 7¹ × 53¹ × 11¹ × 2699¹
LCM(29680,29689) = 881169520