What is the Least Common Multiple of 18748 and 18766?
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 18748 and 18766 is 175912484.
LCM(18748,18766) = 175912484
Least Common Multiple of 18748 and 18766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18748 and 18766, than apply into the LCM equation.
GCF(18748,18766) = 2
LCM(18748,18766) = ( 18748 × 18766) / 2
LCM(18748,18766) = 351824968 / 2
LCM(18748,18766) = 175912484
Least Common Multiple (LCM) of 18748 and 18766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18748 and 18766. First we will calculate the prime factors of 18748 and 18766.
Prime Factorization of 18748
Prime factors of 18748 are 2, 43, 109. Prime factorization of 18748 in exponential form is:
18748 = 22 × 431 × 1091
Prime Factorization of 18766
Prime factors of 18766 are 2, 11, 853. Prime factorization of 18766 in exponential form is:
18766 = 21 × 111 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 18748 and 18766.
LCM(18748,18766) = 22 × 431 × 1091 × 111 × 8531
LCM(18748,18766) = 175912484
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