What is the Least Common Multiple of 94890 and 94896?

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 94890 and 94896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94890 and 94896, than apply into the LCM equation.

GCF(94890,94896) = 6
LCM(94890,94896) = ( 94890 × 94896) / 6
LCM(94890,94896) = 9004681440 / 6
LCM(94890,94896) = 1500780240

Least Common Multiple (LCM) of 94890 and 94896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94890 and 94896. First we will calculate the prime factors of 94890 and 94896.

Prime Factorization of 94890

Prime Factorization of 94896

Now multiplying the highest exponent prime factors to calculate the LCM of 94890 and 94896.

LCM(94890,94896) = 2⁴ × 3² × 5¹ × 3163¹ × 659¹
LCM(94890,94896) = 1500780240