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What is the Least Common Multiple of 53189 and 53195?

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 53189 and 53195 is 2829388855.

LCM(53189,53195) = 2829388855

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Least Common Multiple of 53189 and 53195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53189 and 53195, than apply into the LCM equation.

GCF(53189,53195) = 1
LCM(53189,53195) = ( 53189 × 53195) / 1
LCM(53189,53195) = 2829388855 / 1
LCM(53189,53195) = 2829388855

Least Common Multiple (LCM) of 53189 and 53195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53189 and 53195. First we will calculate the prime factors of 53189 and 53195.

Prime Factorization of 53189

Prime factors of 53189 are 53189. Prime factorization of 53189 in exponential form is:

53189 = 531891

Prime Factorization of 53195

Prime factors of 53195 are 5, 10639. Prime factorization of 53195 in exponential form is:

53195 = 51 × 106391

Now multiplying the highest exponent prime factors to calculate the LCM of 53189 and 53195.

LCM(53189,53195) = 531891 × 51 × 106391
LCM(53189,53195) = 2829388855