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What is the Least Common Multiple of 45350 and 45361?

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 45350 and 45361 is 2057121350.

LCM(45350,45361) = 2057121350

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Least Common Multiple of 45350 and 45361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45350 and 45361, than apply into the LCM equation.

GCF(45350,45361) = 1
LCM(45350,45361) = ( 45350 × 45361) / 1
LCM(45350,45361) = 2057121350 / 1
LCM(45350,45361) = 2057121350

Least Common Multiple (LCM) of 45350 and 45361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45350 and 45361. First we will calculate the prime factors of 45350 and 45361.

Prime Factorization of 45350

Prime factors of 45350 are 2, 5, 907. Prime factorization of 45350 in exponential form is:

45350 = 21 × 52 × 9071

Prime Factorization of 45361

Prime factors of 45361 are 45361. Prime factorization of 45361 in exponential form is:

45361 = 453611

Now multiplying the highest exponent prime factors to calculate the LCM of 45350 and 45361.

LCM(45350,45361) = 21 × 52 × 9071 × 453611
LCM(45350,45361) = 2057121350