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What is the Least Common Multiple of 71495 and 71499?

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 71495 and 71499 is 5111821005.

LCM(71495,71499) = 5111821005

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Least Common Multiple of 71495 and 71499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71495 and 71499, than apply into the LCM equation.

GCF(71495,71499) = 1
LCM(71495,71499) = ( 71495 × 71499) / 1
LCM(71495,71499) = 5111821005 / 1
LCM(71495,71499) = 5111821005

Least Common Multiple (LCM) of 71495 and 71499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71495 and 71499. First we will calculate the prime factors of 71495 and 71499.

Prime Factorization of 71495

Prime factors of 71495 are 5, 79, 181. Prime factorization of 71495 in exponential form is:

71495 = 51 × 791 × 1811

Prime Factorization of 71499

Prime factors of 71499 are 3, 23833. Prime factorization of 71499 in exponential form is:

71499 = 31 × 238331

Now multiplying the highest exponent prime factors to calculate the LCM of 71495 and 71499.

LCM(71495,71499) = 51 × 791 × 1811 × 31 × 238331
LCM(71495,71499) = 5111821005