What is the Least Common Multiple of 84761 and 84770?

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 84761 and 84770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84761 and 84770, than apply into the LCM equation.

GCF(84761,84770) = 1
LCM(84761,84770) = ( 84761 × 84770) / 1
LCM(84761,84770) = 7185189970 / 1
LCM(84761,84770) = 7185189970

Least Common Multiple (LCM) of 84761 and 84770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84761 and 84770. First we will calculate the prime factors of 84761 and 84770.

Prime Factorization of 84761

Prime Factorization of 84770

Now multiplying the highest exponent prime factors to calculate the LCM of 84761 and 84770.

LCM(84761,84770) = 84761¹ × 2¹ × 5¹ × 7² × 173¹
LCM(84761,84770) = 7185189970