What is the Least Common Multiple of 96080 and 96098?

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 96080 and 96098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96080 and 96098, than apply into the LCM equation.

GCF(96080,96098) = 2
LCM(96080,96098) = ( 96080 × 96098) / 2
LCM(96080,96098) = 9233095840 / 2
LCM(96080,96098) = 4616547920

Least Common Multiple (LCM) of 96080 and 96098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96080 and 96098. First we will calculate the prime factors of 96080 and 96098.

Prime Factorization of 96080

Prime Factorization of 96098

Now multiplying the highest exponent prime factors to calculate the LCM of 96080 and 96098.

LCM(96080,96098) = 2⁴ × 5¹ × 1201¹ × 48049¹
LCM(96080,96098) = 4616547920