What is the Least Common Multiple of 84741 and 84753?

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 84741 and 84753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84741 and 84753, than apply into the LCM equation.

GCF(84741,84753) = 3
LCM(84741,84753) = ( 84741 × 84753) / 3
LCM(84741,84753) = 7182053973 / 3
LCM(84741,84753) = 2394017991

Least Common Multiple (LCM) of 84741 and 84753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84741 and 84753. First we will calculate the prime factors of 84741 and 84753.

Prime Factorization of 84741

Prime Factorization of 84753

Now multiplying the highest exponent prime factors to calculate the LCM of 84741 and 84753.

LCM(84741,84753) = 3³ × 47¹ × 601¹ × 43¹ × 73¹
LCM(84741,84753) = 2394017991