What is the Least Common Multiple of 95978 and 95994?

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 95978 and 95994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95978 and 95994, than apply into the LCM equation.

GCF(95978,95994) = 2
LCM(95978,95994) = ( 95978 × 95994) / 2
LCM(95978,95994) = 9213312132 / 2
LCM(95978,95994) = 4606656066

Least Common Multiple (LCM) of 95978 and 95994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95978 and 95994. First we will calculate the prime factors of 95978 and 95994.

Prime Factorization of 95978

Prime Factorization of 95994

Now multiplying the highest exponent prime factors to calculate the LCM of 95978 and 95994.

LCM(95978,95994) = 2¹ × 37¹ × 1297¹ × 3² × 5333¹
LCM(95978,95994) = 4606656066