What is the Least Common Multiple of 84946 and 84960?

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 84946 and 84960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84946 and 84960, than apply into the LCM equation.

GCF(84946,84960) = 2
LCM(84946,84960) = ( 84946 × 84960) / 2
LCM(84946,84960) = 7217012160 / 2
LCM(84946,84960) = 3608506080

Least Common Multiple (LCM) of 84946 and 84960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84946 and 84960. First we will calculate the prime factors of 84946 and 84960.

Prime Factorization of 84946

Prime Factorization of 84960

Now multiplying the highest exponent prime factors to calculate the LCM of 84946 and 84960.

LCM(84946,84960) = 2⁵ × 42473¹ × 3² × 5¹ × 59¹
LCM(84946,84960) = 3608506080