What is the Least Common Multiple of 47427 and 47446?
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 47427 and 47446 is 2250221442.
LCM(47427,47446) = 2250221442
Least Common Multiple of 47427 and 47446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47427 and 47446, than apply into the LCM equation.
GCF(47427,47446) = 1
LCM(47427,47446) = ( 47427 × 47446) / 1
LCM(47427,47446) = 2250221442 / 1
LCM(47427,47446) = 2250221442
Least Common Multiple (LCM) of 47427 and 47446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47427 and 47446. First we will calculate the prime factors of 47427 and 47446.
Prime Factorization of 47427
Prime factors of 47427 are 3, 15809. Prime factorization of 47427 in exponential form is:
47427 = 31 × 158091
Prime Factorization of 47446
Prime factors of 47446 are 2, 7, 3389. Prime factorization of 47446 in exponential form is:
47446 = 21 × 71 × 33891
Now multiplying the highest exponent prime factors to calculate the LCM of 47427 and 47446.
LCM(47427,47446) = 31 × 158091 × 21 × 71 × 33891
LCM(47427,47446) = 2250221442
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