What is the Least Common Multiple of 93680 and 93691?

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 93680 and 93691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93680 and 93691, than apply into the LCM equation.

GCF(93680,93691) = 1
LCM(93680,93691) = ( 93680 × 93691) / 1
LCM(93680,93691) = 8776972880 / 1
LCM(93680,93691) = 8776972880

Least Common Multiple (LCM) of 93680 and 93691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93680 and 93691. First we will calculate the prime factors of 93680 and 93691.

Prime Factorization of 93680

Prime Factorization of 93691

Now multiplying the highest exponent prime factors to calculate the LCM of 93680 and 93691.

LCM(93680,93691) = 2⁴ × 5¹ × 1171¹ × 13¹ × 7207¹
LCM(93680,93691) = 8776972880