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What is the Least Common Multiple of 65145 and 65158?

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 65145 and 65158 is 4244717910.

LCM(65145,65158) = 4244717910

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Least Common Multiple of 65145 and 65158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65145 and 65158, than apply into the LCM equation.

GCF(65145,65158) = 1
LCM(65145,65158) = ( 65145 × 65158) / 1
LCM(65145,65158) = 4244717910 / 1
LCM(65145,65158) = 4244717910

Least Common Multiple (LCM) of 65145 and 65158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65145 and 65158. First we will calculate the prime factors of 65145 and 65158.

Prime Factorization of 65145

Prime factors of 65145 are 3, 5, 43, 101. Prime factorization of 65145 in exponential form is:

65145 = 31 × 51 × 431 × 1011

Prime Factorization of 65158

Prime factors of 65158 are 2, 32579. Prime factorization of 65158 in exponential form is:

65158 = 21 × 325791

Now multiplying the highest exponent prime factors to calculate the LCM of 65145 and 65158.

LCM(65145,65158) = 31 × 51 × 431 × 1011 × 21 × 325791
LCM(65145,65158) = 4244717910