What is the Least Common Multiple of 92080 and 92098?

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 92080 and 92098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92080 and 92098, than apply into the LCM equation.

GCF(92080,92098) = 2
LCM(92080,92098) = ( 92080 × 92098) / 2
LCM(92080,92098) = 8480383840 / 2
LCM(92080,92098) = 4240191920

Least Common Multiple (LCM) of 92080 and 92098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92080 and 92098. First we will calculate the prime factors of 92080 and 92098.

Prime Factorization of 92080

Prime Factorization of 92098

Now multiplying the highest exponent prime factors to calculate the LCM of 92080 and 92098.

LCM(92080,92098) = 2⁴ × 5¹ × 1151¹ × 46049¹
LCM(92080,92098) = 4240191920