What is the Least Common Multiple of 84516 and 84534?

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 84516 and 84534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84516 and 84534, than apply into the LCM equation.

GCF(84516,84534) = 6
LCM(84516,84534) = ( 84516 × 84534) / 6
LCM(84516,84534) = 7144475544 / 6
LCM(84516,84534) = 1190745924

Least Common Multiple (LCM) of 84516 and 84534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84516 and 84534. First we will calculate the prime factors of 84516 and 84534.

Prime Factorization of 84516

Prime Factorization of 84534

Now multiplying the highest exponent prime factors to calculate the LCM of 84516 and 84534.

LCM(84516,84534) = 2² × 3¹ × 7043¹ × 73¹ × 193¹
LCM(84516,84534) = 1190745924