What is the Least Common Multiple of 84531 and 84550?

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 84531 and 84550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84531 and 84550, than apply into the LCM equation.

GCF(84531,84550) = 19
LCM(84531,84550) = ( 84531 × 84550) / 19
LCM(84531,84550) = 7147096050 / 19
LCM(84531,84550) = 376162950

Least Common Multiple (LCM) of 84531 and 84550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84531 and 84550. First we will calculate the prime factors of 84531 and 84550.

Prime Factorization of 84531

Prime Factorization of 84550

Now multiplying the highest exponent prime factors to calculate the LCM of 84531 and 84550.

LCM(84531,84550) = 3¹ × 19¹ × 1483¹ × 2¹ × 5² × 89¹
LCM(84531,84550) = 376162950