What is the Least Common Multiple of 94097 and 94116?

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 94097 and 94116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94097 and 94116, than apply into the LCM equation.

GCF(94097,94116) = 1
LCM(94097,94116) = ( 94097 × 94116) / 1
LCM(94097,94116) = 8856033252 / 1
LCM(94097,94116) = 8856033252

Least Common Multiple (LCM) of 94097 and 94116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94097 and 94116. First we will calculate the prime factors of 94097 and 94116.

Prime Factorization of 94097

Prime Factorization of 94116

Now multiplying the highest exponent prime factors to calculate the LCM of 94097 and 94116.

LCM(94097,94116) = 73¹ × 1289¹ × 2² × 3¹ × 11¹ × 23¹ × 31¹
LCM(94097,94116) = 8856033252