What is the Least Common Multiple of 43153 and 43170?
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 43153 and 43170 is 1862915010.
LCM(43153,43170) = 1862915010
Least Common Multiple of 43153 and 43170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43153 and 43170, than apply into the LCM equation.
GCF(43153,43170) = 1
LCM(43153,43170) = ( 43153 × 43170) / 1
LCM(43153,43170) = 1862915010 / 1
LCM(43153,43170) = 1862915010
Least Common Multiple (LCM) of 43153 and 43170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43153 and 43170. First we will calculate the prime factors of 43153 and 43170.
Prime Factorization of 43153
Prime factors of 43153 are 11, 3923. Prime factorization of 43153 in exponential form is:
43153 = 111 × 39231
Prime Factorization of 43170
Prime factors of 43170 are 2, 3, 5, 1439. Prime factorization of 43170 in exponential form is:
43170 = 21 × 31 × 51 × 14391
Now multiplying the highest exponent prime factors to calculate the LCM of 43153 and 43170.
LCM(43153,43170) = 111 × 39231 × 21 × 31 × 51 × 14391
LCM(43153,43170) = 1862915010
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