What is the Least Common Multiple of 75678 and 75683?

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 75683 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 75683, than apply into the LCM equation.

GCF(75678,75683) = 1
LCM(75678,75683) = ( 75678 × 75683) / 1
LCM(75678,75683) = 5727538074 / 1
LCM(75678,75683) = 5727538074

Least Common Multiple (LCM) of 75678 and 75683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75678 and 75683. First we will calculate the prime factors of 75678 and 75683.

Prime Factorization of 75678

Prime Factorization of 75683

Now multiplying the highest exponent prime factors to calculate the LCM of 75678 and 75683.

LCM(75678,75683) = 2¹ × 3¹ × 12613¹ × 75683¹
LCM(75678,75683) = 5727538074