What is the Least Common Multiple of 87978 and 87994?

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 87978 and 87994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87978 and 87994, than apply into the LCM equation.

GCF(87978,87994) = 2
LCM(87978,87994) = ( 87978 × 87994) / 2
LCM(87978,87994) = 7741536132 / 2
LCM(87978,87994) = 3870768066

Least Common Multiple (LCM) of 87978 and 87994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87978 and 87994. First we will calculate the prime factors of 87978 and 87994.

Prime Factorization of 87978

Prime Factorization of 87994

Now multiplying the highest exponent prime factors to calculate the LCM of 87978 and 87994.

LCM(87978,87994) = 2¹ × 3¹ × 11¹ × 31¹ × 43¹ × 43997¹
LCM(87978,87994) = 3870768066