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What is the Least Common Multiple of 18758 and 18772?

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 18758 and 18772 is 176062588.

LCM(18758,18772) = 176062588

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Least Common Multiple of 18758 and 18772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18758 and 18772, than apply into the LCM equation.

GCF(18758,18772) = 2
LCM(18758,18772) = ( 18758 × 18772) / 2
LCM(18758,18772) = 352125176 / 2
LCM(18758,18772) = 176062588

Least Common Multiple (LCM) of 18758 and 18772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18758 and 18772. First we will calculate the prime factors of 18758 and 18772.

Prime Factorization of 18758

Prime factors of 18758 are 2, 83, 113. Prime factorization of 18758 in exponential form is:

18758 = 21 × 831 × 1131

Prime Factorization of 18772

Prime factors of 18772 are 2, 13, 19. Prime factorization of 18772 in exponential form is:

18772 = 22 × 131 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 18758 and 18772.

LCM(18758,18772) = 22 × 831 × 1131 × 131 × 192
LCM(18758,18772) = 176062588