What is the Least Common Multiple of 43132 and 43151?
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 43132 and 43151 is 1861188932.
LCM(43132,43151) = 1861188932
Least Common Multiple of 43132 and 43151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43132 and 43151, than apply into the LCM equation.
GCF(43132,43151) = 1
LCM(43132,43151) = ( 43132 × 43151) / 1
LCM(43132,43151) = 1861188932 / 1
LCM(43132,43151) = 1861188932
Least Common Multiple (LCM) of 43132 and 43151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43132 and 43151. First we will calculate the prime factors of 43132 and 43151.
Prime Factorization of 43132
Prime factors of 43132 are 2, 41, 263. Prime factorization of 43132 in exponential form is:
43132 = 22 × 411 × 2631
Prime Factorization of 43151
Prime factors of 43151 are 43151. Prime factorization of 43151 in exponential form is:
43151 = 431511
Now multiplying the highest exponent prime factors to calculate the LCM of 43132 and 43151.
LCM(43132,43151) = 22 × 411 × 2631 × 431511
LCM(43132,43151) = 1861188932
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