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What is the Least Common Multiple of 65148 and 65157?

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 65148 and 65157 is 1414949412.

LCM(65148,65157) = 1414949412

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Least Common Multiple of 65148 and 65157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65148 and 65157, than apply into the LCM equation.

GCF(65148,65157) = 3
LCM(65148,65157) = ( 65148 × 65157) / 3
LCM(65148,65157) = 4244848236 / 3
LCM(65148,65157) = 1414949412

Least Common Multiple (LCM) of 65148 and 65157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65148 and 65157. First we will calculate the prime factors of 65148 and 65157.

Prime Factorization of 65148

Prime factors of 65148 are 2, 3, 61, 89. Prime factorization of 65148 in exponential form is:

65148 = 22 × 31 × 611 × 891

Prime Factorization of 65157

Prime factors of 65157 are 3, 37, 587. Prime factorization of 65157 in exponential form is:

65157 = 31 × 371 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 65148 and 65157.

LCM(65148,65157) = 22 × 31 × 611 × 891 × 371 × 5871
LCM(65148,65157) = 1414949412