What is the Least Common Multiple of 43672 and 43677?
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 43672 and 43677 is 1907461944.
LCM(43672,43677) = 1907461944
Least Common Multiple of 43672 and 43677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43672 and 43677, than apply into the LCM equation.
GCF(43672,43677) = 1
LCM(43672,43677) = ( 43672 × 43677) / 1
LCM(43672,43677) = 1907461944 / 1
LCM(43672,43677) = 1907461944
Least Common Multiple (LCM) of 43672 and 43677 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43672 and 43677. First we will calculate the prime factors of 43672 and 43677.
Prime Factorization of 43672
Prime factors of 43672 are 2, 53, 103. Prime factorization of 43672 in exponential form is:
43672 = 23 × 531 × 1031
Prime Factorization of 43677
Prime factors of 43677 are 3, 23, 211. Prime factorization of 43677 in exponential form is:
43677 = 32 × 231 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 43672 and 43677.
LCM(43672,43677) = 23 × 531 × 1031 × 32 × 231 × 2111
LCM(43672,43677) = 1907461944
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