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What is the Least Common Multiple of 79262 and 79270?

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 79262 and 79270 is 3141549370.

LCM(79262,79270) = 3141549370

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Least Common Multiple of 79262 and 79270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79262 and 79270, than apply into the LCM equation.

GCF(79262,79270) = 2
LCM(79262,79270) = ( 79262 × 79270) / 2
LCM(79262,79270) = 6283098740 / 2
LCM(79262,79270) = 3141549370

Least Common Multiple (LCM) of 79262 and 79270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79262 and 79270. First we will calculate the prime factors of 79262 and 79270.

Prime Factorization of 79262

Prime factors of 79262 are 2, 39631. Prime factorization of 79262 in exponential form is:

79262 = 21 × 396311

Prime Factorization of 79270

Prime factors of 79270 are 2, 5, 7927. Prime factorization of 79270 in exponential form is:

79270 = 21 × 51 × 79271

Now multiplying the highest exponent prime factors to calculate the LCM of 79262 and 79270.

LCM(79262,79270) = 21 × 396311 × 51 × 79271
LCM(79262,79270) = 3141549370