What is the Least Common Multiple of 47075 and 47089?
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 (LCM) of 47075 and 47089 is 316673525.
LCM(47075,47089) = 316673525
Least Common Multiple of 47075 and 47089 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 47089, than apply into the LCM equation.
GCF(47075,47089) = 7
LCM(47075,47089) = ( 47075 × 47089) / 7
LCM(47075,47089) = 2216714675 / 7
LCM(47075,47089) = 316673525
Least Common Multiple (LCM) of 47075 and 47089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47075 and 47089. First we will calculate the prime factors of 47075 and 47089.
Prime Factorization of 47075
Prime factors of 47075 are 5, 7, 269. Prime factorization of 47075 in exponential form is:
47075 = 52 × 71 × 2691
Prime Factorization of 47089
Prime factors of 47089 are 7, 31. Prime factorization of 47089 in exponential form is:
47089 = 72 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 47075 and 47089.
LCM(47075,47089) = 52 × 72 × 2691 × 312
LCM(47075,47089) = 316673525
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