What is the Least Common Multiple of 5915 and 5932?
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 5915 and 5932 is 35087780.
LCM(5915,5932) = 35087780
Least Common Multiple of 5915 and 5932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5915 and 5932, than apply into the LCM equation.
GCF(5915,5932) = 1
LCM(5915,5932) = ( 5915 × 5932) / 1
LCM(5915,5932) = 35087780 / 1
LCM(5915,5932) = 35087780
Least Common Multiple (LCM) of 5915 and 5932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5915 and 5932. First we will calculate the prime factors of 5915 and 5932.
Prime Factorization of 5915
Prime factors of 5915 are 5, 7, 13. Prime factorization of 5915 in exponential form is:
5915 = 51 × 71 × 132
Prime Factorization of 5932
Prime factors of 5932 are 2, 1483. Prime factorization of 5932 in exponential form is:
5932 = 22 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 5915 and 5932.
LCM(5915,5932) = 51 × 71 × 132 × 22 × 14831
LCM(5915,5932) = 35087780
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