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What is the Least Common Multiple of 18038 and 18050?

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 18038 and 18050 is 162792950.

LCM(18038,18050) = 162792950

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Least Common Multiple of 18038 and 18050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18038 and 18050, than apply into the LCM equation.

GCF(18038,18050) = 2
LCM(18038,18050) = ( 18038 × 18050) / 2
LCM(18038,18050) = 325585900 / 2
LCM(18038,18050) = 162792950

Least Common Multiple (LCM) of 18038 and 18050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18038 and 18050. First we will calculate the prime factors of 18038 and 18050.

Prime Factorization of 18038

Prime factors of 18038 are 2, 29, 311. Prime factorization of 18038 in exponential form is:

18038 = 21 × 291 × 3111

Prime Factorization of 18050

Prime factors of 18050 are 2, 5, 19. Prime factorization of 18050 in exponential form is:

18050 = 21 × 52 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 18038 and 18050.

LCM(18038,18050) = 21 × 291 × 3111 × 52 × 192
LCM(18038,18050) = 162792950