What is the Least Common Multiple of 47062 and 47071?
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 47062 and 47071 is 2215255402.
LCM(47062,47071) = 2215255402
Least Common Multiple of 47062 and 47071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47062 and 47071, than apply into the LCM equation.
GCF(47062,47071) = 1
LCM(47062,47071) = ( 47062 × 47071) / 1
LCM(47062,47071) = 2215255402 / 1
LCM(47062,47071) = 2215255402
Least Common Multiple (LCM) of 47062 and 47071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47062 and 47071. First we will calculate the prime factors of 47062 and 47071.
Prime Factorization of 47062
Prime factors of 47062 are 2, 23531. Prime factorization of 47062 in exponential form is:
47062 = 21 × 235311
Prime Factorization of 47071
Prime factors of 47071 are 103, 457. Prime factorization of 47071 in exponential form is:
47071 = 1031 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 47062 and 47071.
LCM(47062,47071) = 21 × 235311 × 1031 × 4571
LCM(47062,47071) = 2215255402
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