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What is the Least Common Multiple of 95158 and 95164?

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 95158 and 95164 is 4527807956.

LCM(95158,95164) = 4527807956

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Least Common Multiple of 95158 and 95164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95158 and 95164, than apply into the LCM equation.

GCF(95158,95164) = 2
LCM(95158,95164) = ( 95158 × 95164) / 2
LCM(95158,95164) = 9055615912 / 2
LCM(95158,95164) = 4527807956

Least Common Multiple (LCM) of 95158 and 95164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95158 and 95164. First we will calculate the prime factors of 95158 and 95164.

Prime Factorization of 95158

Prime factors of 95158 are 2, 7, 971. Prime factorization of 95158 in exponential form is:

95158 = 21 × 72 × 9711

Prime Factorization of 95164

Prime factors of 95164 are 2, 37, 643. Prime factorization of 95164 in exponential form is:

95164 = 22 × 371 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 95158 and 95164.

LCM(95158,95164) = 22 × 72 × 9711 × 371 × 6431
LCM(95158,95164) = 4527807956