What is the Least Common Multiple of 47075 and 47084?

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 47075 and 47084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47075 and 47084, than apply into the LCM equation.

GCF(47075,47084) = 1
LCM(47075,47084) = ( 47075 × 47084) / 1
LCM(47075,47084) = 2216479300 / 1
LCM(47075,47084) = 2216479300

Least Common Multiple (LCM) of 47075 and 47084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47075 and 47084. First we will calculate the prime factors of 47075 and 47084.

Prime Factorization of 47075

Prime Factorization of 47084

Now multiplying the highest exponent prime factors to calculate the LCM of 47075 and 47084.

LCM(47075,47084) = 5² × 7¹ × 269¹ × 2² × 79¹ × 149¹
LCM(47075,47084) = 2216479300