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What is the Least Common Multiple of 88818 and 88825?

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 88818 and 88825 is 7889258850.

LCM(88818,88825) = 7889258850

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Least Common Multiple of 88818 and 88825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88818 and 88825, than apply into the LCM equation.

GCF(88818,88825) = 1
LCM(88818,88825) = ( 88818 × 88825) / 1
LCM(88818,88825) = 7889258850 / 1
LCM(88818,88825) = 7889258850

Least Common Multiple (LCM) of 88818 and 88825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88818 and 88825. First we will calculate the prime factors of 88818 and 88825.

Prime Factorization of 88818

Prime factors of 88818 are 2, 3, 113, 131. Prime factorization of 88818 in exponential form is:

88818 = 21 × 31 × 1131 × 1311

Prime Factorization of 88825

Prime factors of 88825 are 5, 11, 17, 19. Prime factorization of 88825 in exponential form is:

88825 = 52 × 111 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 88818 and 88825.

LCM(88818,88825) = 21 × 31 × 1131 × 1311 × 52 × 111 × 171 × 191
LCM(88818,88825) = 7889258850