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What is the Least Common Multiple of 19016 and 19025?

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 19016 and 19025 is 361779400.

LCM(19016,19025) = 361779400

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Least Common Multiple of 19016 and 19025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19016 and 19025, than apply into the LCM equation.

GCF(19016,19025) = 1
LCM(19016,19025) = ( 19016 × 19025) / 1
LCM(19016,19025) = 361779400 / 1
LCM(19016,19025) = 361779400

Least Common Multiple (LCM) of 19016 and 19025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19016 and 19025. First we will calculate the prime factors of 19016 and 19025.

Prime Factorization of 19016

Prime factors of 19016 are 2, 2377. Prime factorization of 19016 in exponential form is:

19016 = 23 × 23771

Prime Factorization of 19025

Prime factors of 19025 are 5, 761. Prime factorization of 19025 in exponential form is:

19025 = 52 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 19016 and 19025.

LCM(19016,19025) = 23 × 23771 × 52 × 7611
LCM(19016,19025) = 361779400