What is the Least Common Multiple of 18727 and 18739?
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 18727 and 18739 is 350925253.
LCM(18727,18739) = 350925253
Least Common Multiple of 18727 and 18739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18727 and 18739, than apply into the LCM equation.
GCF(18727,18739) = 1
LCM(18727,18739) = ( 18727 × 18739) / 1
LCM(18727,18739) = 350925253 / 1
LCM(18727,18739) = 350925253
Least Common Multiple (LCM) of 18727 and 18739 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18727 and 18739. First we will calculate the prime factors of 18727 and 18739.
Prime Factorization of 18727
Prime factors of 18727 are 61, 307. Prime factorization of 18727 in exponential form is:
18727 = 611 × 3071
Prime Factorization of 18739
Prime factors of 18739 are 7, 2677. Prime factorization of 18739 in exponential form is:
18739 = 71 × 26771
Now multiplying the highest exponent prime factors to calculate the LCM of 18727 and 18739.
LCM(18727,18739) = 611 × 3071 × 71 × 26771
LCM(18727,18739) = 350925253
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