What is the Least Common Multiple of 84738 and 84751?

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 84738 and 84751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84738 and 84751, than apply into the LCM equation.

GCF(84738,84751) = 1
LCM(84738,84751) = ( 84738 × 84751) / 1
LCM(84738,84751) = 7181630238 / 1
LCM(84738,84751) = 7181630238

Least Common Multiple (LCM) of 84738 and 84751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84738 and 84751. First we will calculate the prime factors of 84738 and 84751.

Prime Factorization of 84738

Prime Factorization of 84751

Now multiplying the highest exponent prime factors to calculate the LCM of 84738 and 84751.

LCM(84738,84751) = 2¹ × 3¹ × 29¹ × 487¹ × 84751¹
LCM(84738,84751) = 7181630238