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What is the Least Common Multiple of 79153 and 79158?

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 79153 and 79158 is 6265593174.

LCM(79153,79158) = 6265593174

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Least Common Multiple of 79153 and 79158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79153 and 79158, than apply into the LCM equation.

GCF(79153,79158) = 1
LCM(79153,79158) = ( 79153 × 79158) / 1
LCM(79153,79158) = 6265593174 / 1
LCM(79153,79158) = 6265593174

Least Common Multiple (LCM) of 79153 and 79158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79153 and 79158. First we will calculate the prime factors of 79153 and 79158.

Prime Factorization of 79153

Prime factors of 79153 are 79153. Prime factorization of 79153 in exponential form is:

79153 = 791531

Prime Factorization of 79158

Prime factors of 79158 are 2, 3, 79, 167. Prime factorization of 79158 in exponential form is:

79158 = 21 × 31 × 791 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 79153 and 79158.

LCM(79153,79158) = 791531 × 21 × 31 × 791 × 1671
LCM(79153,79158) = 6265593174