What is the Least Common Multiple of 84560 and 84564?

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 84560 and 84564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84560 and 84564, than apply into the LCM equation.

GCF(84560,84564) = 4
LCM(84560,84564) = ( 84560 × 84564) / 4
LCM(84560,84564) = 7150731840 / 4
LCM(84560,84564) = 1787682960

Least Common Multiple (LCM) of 84560 and 84564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84560 and 84564. First we will calculate the prime factors of 84560 and 84564.

Prime Factorization of 84560

Prime Factorization of 84564

Now multiplying the highest exponent prime factors to calculate the LCM of 84560 and 84564.

LCM(84560,84564) = 2⁴ × 5¹ × 7¹ × 151¹ × 3⁶ × 29¹
LCM(84560,84564) = 1787682960