What is the Least Common Multiple of 84750 and 84756?

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 84750 and 84756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84750 and 84756, than apply into the LCM equation.

GCF(84750,84756) = 6
LCM(84750,84756) = ( 84750 × 84756) / 6
LCM(84750,84756) = 7183071000 / 6
LCM(84750,84756) = 1197178500

Least Common Multiple (LCM) of 84750 and 84756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84750 and 84756. First we will calculate the prime factors of 84750 and 84756.

Prime Factorization of 84750

Prime Factorization of 84756

Now multiplying the highest exponent prime factors to calculate the LCM of 84750 and 84756.

LCM(84750,84756) = 2² × 3¹ × 5³ × 113¹ × 7¹ × 1009¹
LCM(84750,84756) = 1197178500