What is the Least Common Multiple of 98064 and 98074?

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 98074 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 98074, than apply into the LCM equation.

GCF(98064,98074) = 2
LCM(98064,98074) = ( 98064 × 98074) / 2
LCM(98064,98074) = 9617528736 / 2
LCM(98064,98074) = 4808764368

Least Common Multiple (LCM) of 98064 and 98074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98064 and 98074. First we will calculate the prime factors of 98064 and 98074.

Prime Factorization of 98064

Prime Factorization of 98074

Now multiplying the highest exponent prime factors to calculate the LCM of 98064 and 98074.

LCM(98064,98074) = 2⁴ × 3³ × 227¹ × 49037¹
LCM(98064,98074) = 4808764368