What is the Least Common Multiple of 43063 and 43080?
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 43080 is 1855154040.
LCM(43063,43080) = 1855154040
Least Common Multiple of 43063 and 43080 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 43080, than apply into the LCM equation.
GCF(43063,43080) = 1
LCM(43063,43080) = ( 43063 × 43080) / 1
LCM(43063,43080) = 1855154040 / 1
LCM(43063,43080) = 1855154040
Least Common Multiple (LCM) of 43063 and 43080 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43063 and 43080. First we will calculate the prime factors of 43063 and 43080.
Prime Factorization of 43063
Prime factors of 43063 are 43063. Prime factorization of 43063 in exponential form is:
43063 = 430631
Prime Factorization of 43080
Prime factors of 43080 are 2, 3, 5, 359. Prime factorization of 43080 in exponential form is:
43080 = 23 × 31 × 51 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 43063 and 43080.
LCM(43063,43080) = 430631 × 23 × 31 × 51 × 3591
LCM(43063,43080) = 1855154040
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