What is the Least Common Multiple of 75678 and 75691?

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 75678 and 75691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75678 and 75691, than apply into the LCM equation.

GCF(75678,75691) = 1
LCM(75678,75691) = ( 75678 × 75691) / 1
LCM(75678,75691) = 5728143498 / 1
LCM(75678,75691) = 5728143498

Least Common Multiple (LCM) of 75678 and 75691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75678 and 75691. First we will calculate the prime factors of 75678 and 75691.

Prime Factorization of 75678

Prime Factorization of 75691

Now multiplying the highest exponent prime factors to calculate the LCM of 75678 and 75691.

LCM(75678,75691) = 2¹ × 3¹ × 12613¹ × 7¹ × 11¹ × 983¹
LCM(75678,75691) = 5728143498