What is the Least Common Multiple of 47391 and 47400?
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 47391 and 47400 is 748777800.
LCM(47391,47400) = 748777800
Least Common Multiple of 47391 and 47400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47391 and 47400, than apply into the LCM equation.
GCF(47391,47400) = 3
LCM(47391,47400) = ( 47391 × 47400) / 3
LCM(47391,47400) = 2246333400 / 3
LCM(47391,47400) = 748777800
Least Common Multiple (LCM) of 47391 and 47400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47391 and 47400. First we will calculate the prime factors of 47391 and 47400.
Prime Factorization of 47391
Prime factors of 47391 are 3, 15797. Prime factorization of 47391 in exponential form is:
47391 = 31 × 157971
Prime Factorization of 47400
Prime factors of 47400 are 2, 3, 5, 79. Prime factorization of 47400 in exponential form is:
47400 = 23 × 31 × 52 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 47391 and 47400.
LCM(47391,47400) = 31 × 157971 × 23 × 52 × 791
LCM(47391,47400) = 748777800
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