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What is the Least Common Multiple of 28119 and 28123?

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 28119 and 28123 is 790790637.

LCM(28119,28123) = 790790637

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Least Common Multiple of 28119 and 28123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28119 and 28123, than apply into the LCM equation.

GCF(28119,28123) = 1
LCM(28119,28123) = ( 28119 × 28123) / 1
LCM(28119,28123) = 790790637 / 1
LCM(28119,28123) = 790790637

Least Common Multiple (LCM) of 28119 and 28123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28119 and 28123. First we will calculate the prime factors of 28119 and 28123.

Prime Factorization of 28119

Prime factors of 28119 are 3, 7, 13, 103. Prime factorization of 28119 in exponential form is:

28119 = 31 × 71 × 131 × 1031

Prime Factorization of 28123

Prime factors of 28123 are 28123. Prime factorization of 28123 in exponential form is:

28123 = 281231

Now multiplying the highest exponent prime factors to calculate the LCM of 28119 and 28123.

LCM(28119,28123) = 31 × 71 × 131 × 1031 × 281231
LCM(28119,28123) = 790790637