What is the Least Common Multiple of 43147 and 43155?
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 43147 and 43155 is 1862008785.
LCM(43147,43155) = 1862008785
Least Common Multiple of 43147 and 43155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43147 and 43155, than apply into the LCM equation.
GCF(43147,43155) = 1
LCM(43147,43155) = ( 43147 × 43155) / 1
LCM(43147,43155) = 1862008785 / 1
LCM(43147,43155) = 1862008785
Least Common Multiple (LCM) of 43147 and 43155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43147 and 43155. First we will calculate the prime factors of 43147 and 43155.
Prime Factorization of 43147
Prime factors of 43147 are 13, 3319. Prime factorization of 43147 in exponential form is:
43147 = 131 × 33191
Prime Factorization of 43155
Prime factors of 43155 are 3, 5, 7, 137. Prime factorization of 43155 in exponential form is:
43155 = 32 × 51 × 71 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 43147 and 43155.
LCM(43147,43155) = 131 × 33191 × 32 × 51 × 71 × 1371
LCM(43147,43155) = 1862008785
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