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What is the Least Common Multiple of 53195 and 53201?

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 53195 and 53201 is 2830027195.

LCM(53195,53201) = 2830027195

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Least Common Multiple of 53195 and 53201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53195 and 53201, than apply into the LCM equation.

GCF(53195,53201) = 1
LCM(53195,53201) = ( 53195 × 53201) / 1
LCM(53195,53201) = 2830027195 / 1
LCM(53195,53201) = 2830027195

Least Common Multiple (LCM) of 53195 and 53201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53195 and 53201. First we will calculate the prime factors of 53195 and 53201.

Prime Factorization of 53195

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

53195 = 51 × 106391

Prime Factorization of 53201

Prime factors of 53201 are 53201. Prime factorization of 53201 in exponential form is:

53201 = 532011

Now multiplying the highest exponent prime factors to calculate the LCM of 53195 and 53201.

LCM(53195,53201) = 51 × 106391 × 532011
LCM(53195,53201) = 2830027195