What is the Least Common Multiple of 43707 and 43727?
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 43707 and 43727 is 1911175989.
LCM(43707,43727) = 1911175989
Least Common Multiple of 43707 and 43727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43707 and 43727, than apply into the LCM equation.
GCF(43707,43727) = 1
LCM(43707,43727) = ( 43707 × 43727) / 1
LCM(43707,43727) = 1911175989 / 1
LCM(43707,43727) = 1911175989
Least Common Multiple (LCM) of 43707 and 43727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43707 and 43727. First we will calculate the prime factors of 43707 and 43727.
Prime Factorization of 43707
Prime factors of 43707 are 3, 17, 857. Prime factorization of 43707 in exponential form is:
43707 = 31 × 171 × 8571
Prime Factorization of 43727
Prime factors of 43727 are 73, 599. Prime factorization of 43727 in exponential form is:
43727 = 731 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 43707 and 43727.
LCM(43707,43727) = 31 × 171 × 8571 × 731 × 5991
LCM(43707,43727) = 1911175989
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