What is the Least Common Multiple of 84756 and 84763?

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 84763 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 84763, than apply into the LCM equation.

GCF(84756,84763) = 7
LCM(84756,84763) = ( 84756 × 84763) / 7
LCM(84756,84763) = 7184172828 / 7
LCM(84756,84763) = 1026310404

Least Common Multiple (LCM) of 84756 and 84763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84756 and 84763. First we will calculate the prime factors of 84756 and 84763.

Prime Factorization of 84756

Prime Factorization of 84763

Now multiplying the highest exponent prime factors to calculate the LCM of 84756 and 84763.

LCM(84756,84763) = 2² × 3¹ × 7¹ × 1009¹ × 12109¹
LCM(84756,84763) = 1026310404