What is the Least Common Multiple of 84680 and 84696?

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 84680 and 84696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84680 and 84696, than apply into the LCM equation.

GCF(84680,84696) = 8
LCM(84680,84696) = ( 84680 × 84696) / 8
LCM(84680,84696) = 7172057280 / 8
LCM(84680,84696) = 896507160

Least Common Multiple (LCM) of 84680 and 84696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84680 and 84696. First we will calculate the prime factors of 84680 and 84696.

Prime Factorization of 84680

Prime Factorization of 84696

Now multiplying the highest exponent prime factors to calculate the LCM of 84680 and 84696.

LCM(84680,84696) = 2³ × 5¹ × 29¹ × 73¹ × 3¹ × 3529¹
LCM(84680,84696) = 896507160