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What is the Least Common Multiple of 27038 and 27050?

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 27038 and 27050 is 365688950.

LCM(27038,27050) = 365688950

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Least Common Multiple of 27038 and 27050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27038 and 27050, than apply into the LCM equation.

GCF(27038,27050) = 2
LCM(27038,27050) = ( 27038 × 27050) / 2
LCM(27038,27050) = 731377900 / 2
LCM(27038,27050) = 365688950

Least Common Multiple (LCM) of 27038 and 27050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27038 and 27050. First we will calculate the prime factors of 27038 and 27050.

Prime Factorization of 27038

Prime factors of 27038 are 2, 11, 1229. Prime factorization of 27038 in exponential form is:

27038 = 21 × 111 × 12291

Prime Factorization of 27050

Prime factors of 27050 are 2, 5, 541. Prime factorization of 27050 in exponential form is:

27050 = 21 × 52 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 27038 and 27050.

LCM(27038,27050) = 21 × 111 × 12291 × 52 × 5411
LCM(27038,27050) = 365688950