What is the Least Common Multiple of 43045 and 43053?
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 43045 and 43053 is 1853216385.
LCM(43045,43053) = 1853216385
Least Common Multiple of 43045 and 43053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43045 and 43053, than apply into the LCM equation.
GCF(43045,43053) = 1
LCM(43045,43053) = ( 43045 × 43053) / 1
LCM(43045,43053) = 1853216385 / 1
LCM(43045,43053) = 1853216385
Least Common Multiple (LCM) of 43045 and 43053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43045 and 43053. First we will calculate the prime factors of 43045 and 43053.
Prime Factorization of 43045
Prime factors of 43045 are 5, 8609. Prime factorization of 43045 in exponential form is:
43045 = 51 × 86091
Prime Factorization of 43053
Prime factors of 43053 are 3, 113, 127. Prime factorization of 43053 in exponential form is:
43053 = 31 × 1131 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 43045 and 43053.
LCM(43045,43053) = 51 × 86091 × 31 × 1131 × 1271
LCM(43045,43053) = 1853216385
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