What is the Least Common Multiple of 47985 and 47994?

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 47985 and 47994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47985 and 47994, than apply into the LCM equation.

GCF(47985,47994) = 3
LCM(47985,47994) = ( 47985 × 47994) / 3
LCM(47985,47994) = 2302992090 / 3
LCM(47985,47994) = 767664030

Least Common Multiple (LCM) of 47985 and 47994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47985 and 47994. First we will calculate the prime factors of 47985 and 47994.

Prime Factorization of 47985

Prime Factorization of 47994

Now multiplying the highest exponent prime factors to calculate the LCM of 47985 and 47994.

LCM(47985,47994) = 3¹ × 5¹ × 7¹ × 457¹ × 2¹ × 19¹ × 421¹
LCM(47985,47994) = 767664030