What is the Least Common Multiple of 43063 and 43068?
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 43063 and 43068 is 1854637284.
LCM(43063,43068) = 1854637284
Least Common Multiple of 43063 and 43068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43063 and 43068, than apply into the LCM equation.
GCF(43063,43068) = 1
LCM(43063,43068) = ( 43063 × 43068) / 1
LCM(43063,43068) = 1854637284 / 1
LCM(43063,43068) = 1854637284
Least Common Multiple (LCM) of 43063 and 43068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43063 and 43068. First we will calculate the prime factors of 43063 and 43068.
Prime Factorization of 43063
Prime factors of 43063 are 43063. Prime factorization of 43063 in exponential form is:
43063 = 430631
Prime Factorization of 43068
Prime factors of 43068 are 2, 3, 37, 97. Prime factorization of 43068 in exponential form is:
43068 = 22 × 31 × 371 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 43063 and 43068.
LCM(43063,43068) = 430631 × 22 × 31 × 371 × 971
LCM(43063,43068) = 1854637284
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