What is the Least Common Multiple of 47734 and 47740?
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 47734 and 47740 is 1139410580.
LCM(47734,47740) = 1139410580
Least Common Multiple of 47734 and 47740 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47734 and 47740, than apply into the LCM equation.
GCF(47734,47740) = 2
LCM(47734,47740) = ( 47734 × 47740) / 2
LCM(47734,47740) = 2278821160 / 2
LCM(47734,47740) = 1139410580
Least Common Multiple (LCM) of 47734 and 47740 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47734 and 47740. First we will calculate the prime factors of 47734 and 47740.
Prime Factorization of 47734
Prime factors of 47734 are 2, 29, 823. Prime factorization of 47734 in exponential form is:
47734 = 21 × 291 × 8231
Prime Factorization of 47740
Prime factors of 47740 are 2, 5, 7, 11, 31. Prime factorization of 47740 in exponential form is:
47740 = 22 × 51 × 71 × 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 47734 and 47740.
LCM(47734,47740) = 22 × 291 × 8231 × 51 × 71 × 111 × 311
LCM(47734,47740) = 1139410580
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Related Least Common Multiples of 47740
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