What is the Least Common Multiple of 84683 and 84703?

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 84683 and 84703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84683 and 84703, than apply into the LCM equation.

GCF(84683,84703) = 1
LCM(84683,84703) = ( 84683 × 84703) / 1
LCM(84683,84703) = 7172904149 / 1
LCM(84683,84703) = 7172904149

Least Common Multiple (LCM) of 84683 and 84703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84683 and 84703. First we will calculate the prime factors of 84683 and 84703.

Prime Factorization of 84683

Prime Factorization of 84703

Now multiplying the highest exponent prime factors to calculate the LCM of 84683 and 84703.

LCM(84683,84703) = 19¹ × 4457¹ × 71¹ × 1193¹
LCM(84683,84703) = 7172904149