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What is the Least Common Multiple of 52148 and 52157?

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 52148 and 52157 is 2719883236.

LCM(52148,52157) = 2719883236

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Least Common Multiple of 52148 and 52157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52148 and 52157, than apply into the LCM equation.

GCF(52148,52157) = 1
LCM(52148,52157) = ( 52148 × 52157) / 1
LCM(52148,52157) = 2719883236 / 1
LCM(52148,52157) = 2719883236

Least Common Multiple (LCM) of 52148 and 52157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52148 and 52157. First we will calculate the prime factors of 52148 and 52157.

Prime Factorization of 52148

Prime factors of 52148 are 2, 13037. Prime factorization of 52148 in exponential form is:

52148 = 22 × 130371

Prime Factorization of 52157

Prime factors of 52157 are 7, 7451. Prime factorization of 52157 in exponential form is:

52157 = 71 × 74511

Now multiplying the highest exponent prime factors to calculate the LCM of 52148 and 52157.

LCM(52148,52157) = 22 × 130371 × 71 × 74511
LCM(52148,52157) = 2719883236