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What is the Least Common Multiple of 10119 and 10123?

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 10119 and 10123 is 102434637.

LCM(10119,10123) = 102434637

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Least Common Multiple of 10119 and 10123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10119 and 10123, than apply into the LCM equation.

GCF(10119,10123) = 1
LCM(10119,10123) = ( 10119 × 10123) / 1
LCM(10119,10123) = 102434637 / 1
LCM(10119,10123) = 102434637

Least Common Multiple (LCM) of 10119 and 10123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10119 and 10123. First we will calculate the prime factors of 10119 and 10123.

Prime Factorization of 10119

Prime factors of 10119 are 3, 3373. Prime factorization of 10119 in exponential form is:

10119 = 31 × 33731

Prime Factorization of 10123

Prime factors of 10123 are 53, 191. Prime factorization of 10123 in exponential form is:

10123 = 531 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 10119 and 10123.

LCM(10119,10123) = 31 × 33731 × 531 × 1911
LCM(10119,10123) = 102434637