What is the Least Common Multiple of 84705 and 84712?

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 84705 and 84712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84705 and 84712, than apply into the LCM equation.

GCF(84705,84712) = 1
LCM(84705,84712) = ( 84705 × 84712) / 1
LCM(84705,84712) = 7175529960 / 1
LCM(84705,84712) = 7175529960

Least Common Multiple (LCM) of 84705 and 84712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84705 and 84712. First we will calculate the prime factors of 84705 and 84712.

Prime Factorization of 84705

Prime Factorization of 84712

Now multiplying the highest exponent prime factors to calculate the LCM of 84705 and 84712.

LCM(84705,84712) = 3¹ × 5¹ × 5647¹ × 2³ × 10589¹
LCM(84705,84712) = 7175529960