What is the Least Common Multiple of 98064 and 98084?

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 98064 and 98084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98064 and 98084, than apply into the LCM equation.

GCF(98064,98084) = 4
LCM(98064,98084) = ( 98064 × 98084) / 4
LCM(98064,98084) = 9618509376 / 4
LCM(98064,98084) = 2404627344

Least Common Multiple (LCM) of 98064 and 98084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98064 and 98084. First we will calculate the prime factors of 98064 and 98084.

Prime Factorization of 98064

Prime Factorization of 98084

Now multiplying the highest exponent prime factors to calculate the LCM of 98064 and 98084.

LCM(98064,98084) = 2⁴ × 3³ × 227¹ × 7¹ × 31¹ × 113¹
LCM(98064,98084) = 2404627344