What is the Least Common Multiple of 47984 and 47995?

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 47984 and 47995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47984 and 47995, than apply into the LCM equation.

GCF(47984,47995) = 1
LCM(47984,47995) = ( 47984 × 47995) / 1
LCM(47984,47995) = 2302992080 / 1
LCM(47984,47995) = 2302992080

Least Common Multiple (LCM) of 47984 and 47995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47984 and 47995. First we will calculate the prime factors of 47984 and 47995.

Prime Factorization of 47984

Prime Factorization of 47995

Now multiplying the highest exponent prime factors to calculate the LCM of 47984 and 47995.

LCM(47984,47995) = 2⁴ × 2999¹ × 5¹ × 29¹ × 331¹
LCM(47984,47995) = 2302992080