What is the Least Common Multiple of 84524 and 84541?

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 84524 and 84541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84524 and 84541, than apply into the LCM equation.

GCF(84524,84541) = 17
LCM(84524,84541) = ( 84524 × 84541) / 17
LCM(84524,84541) = 7145743484 / 17
LCM(84524,84541) = 420337852

Least Common Multiple (LCM) of 84524 and 84541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84524 and 84541. First we will calculate the prime factors of 84524 and 84541.

Prime Factorization of 84524

Prime Factorization of 84541

Now multiplying the highest exponent prime factors to calculate the LCM of 84524 and 84541.

LCM(84524,84541) = 2² × 11¹ × 17¹ × 113¹ × 4973¹
LCM(84524,84541) = 420337852