What is the Least Common Multiple of 84756 and 84768?

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 84756 and 84768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84756 and 84768, than apply into the LCM equation.

GCF(84756,84768) = 12
LCM(84756,84768) = ( 84756 × 84768) / 12
LCM(84756,84768) = 7184596608 / 12
LCM(84756,84768) = 598716384

Least Common Multiple (LCM) of 84756 and 84768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84756 and 84768. First we will calculate the prime factors of 84756 and 84768.

Prime Factorization of 84756

Prime Factorization of 84768

Now multiplying the highest exponent prime factors to calculate the LCM of 84756 and 84768.

LCM(84756,84768) = 2⁵ × 3¹ × 7¹ × 1009¹ × 883¹
LCM(84756,84768) = 598716384