What is the Least Common Multiple of 67684 and 67691?

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 67684 and 67691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67684 and 67691, than apply into the LCM equation.

GCF(67684,67691) = 1
LCM(67684,67691) = ( 67684 × 67691) / 1
LCM(67684,67691) = 4581597644 / 1
LCM(67684,67691) = 4581597644

Least Common Multiple (LCM) of 67684 and 67691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67684 and 67691. First we will calculate the prime factors of 67684 and 67691.

Prime Factorization of 67684

Prime Factorization of 67691

Now multiplying the highest exponent prime factors to calculate the LCM of 67684 and 67691.

LCM(67684,67691) = 2² × 16921¹ × 13¹ × 41¹ × 127¹
LCM(67684,67691) = 4581597644