What is the Least Common Multiple of 84160 and 84164?

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 84160 and 84164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84160 and 84164, than apply into the LCM equation.

GCF(84160,84164) = 4
LCM(84160,84164) = ( 84160 × 84164) / 4
LCM(84160,84164) = 7083242240 / 4
LCM(84160,84164) = 1770810560

Least Common Multiple (LCM) of 84160 and 84164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84160 and 84164. First we will calculate the prime factors of 84160 and 84164.

Prime Factorization of 84160

Prime Factorization of 84164

Now multiplying the highest exponent prime factors to calculate the LCM of 84160 and 84164.

LCM(84160,84164) = 2⁶ × 5¹ × 263¹ × 53¹ × 397¹
LCM(84160,84164) = 1770810560