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What is the Least Common Multiple of 18832 and 18840?

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 18832 and 18840 is 44349360.

LCM(18832,18840) = 44349360

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Least Common Multiple of 18832 and 18840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18832 and 18840, than apply into the LCM equation.

GCF(18832,18840) = 8
LCM(18832,18840) = ( 18832 × 18840) / 8
LCM(18832,18840) = 354794880 / 8
LCM(18832,18840) = 44349360

Least Common Multiple (LCM) of 18832 and 18840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18832 and 18840. First we will calculate the prime factors of 18832 and 18840.

Prime Factorization of 18832

Prime factors of 18832 are 2, 11, 107. Prime factorization of 18832 in exponential form is:

18832 = 24 × 111 × 1071

Prime Factorization of 18840

Prime factors of 18840 are 2, 3, 5, 157. Prime factorization of 18840 in exponential form is:

18840 = 23 × 31 × 51 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 18832 and 18840.

LCM(18832,18840) = 24 × 111 × 1071 × 31 × 51 × 1571
LCM(18832,18840) = 44349360