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What is the Least Common Multiple of 88054 and 88058?

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 88054 and 88058 is 3876929566.

LCM(88054,88058) = 3876929566

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Least Common Multiple of 88054 and 88058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88054 and 88058, than apply into the LCM equation.

GCF(88054,88058) = 2
LCM(88054,88058) = ( 88054 × 88058) / 2
LCM(88054,88058) = 7753859132 / 2
LCM(88054,88058) = 3876929566

Least Common Multiple (LCM) of 88054 and 88058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88054 and 88058. First we will calculate the prime factors of 88054 and 88058.

Prime Factorization of 88054

Prime factors of 88054 are 2, 44027. Prime factorization of 88054 in exponential form is:

88054 = 21 × 440271

Prime Factorization of 88058

Prime factors of 88058 are 2, 44029. Prime factorization of 88058 in exponential form is:

88058 = 21 × 440291

Now multiplying the highest exponent prime factors to calculate the LCM of 88054 and 88058.

LCM(88054,88058) = 21 × 440271 × 440291
LCM(88054,88058) = 3876929566