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What is the Least Common Multiple of 88045 and 88054?

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 88045 and 88054 is 7752714430.

LCM(88045,88054) = 7752714430

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Least Common Multiple of 88045 and 88054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88045 and 88054, than apply into the LCM equation.

GCF(88045,88054) = 1
LCM(88045,88054) = ( 88045 × 88054) / 1
LCM(88045,88054) = 7752714430 / 1
LCM(88045,88054) = 7752714430

Least Common Multiple (LCM) of 88045 and 88054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88045 and 88054. First we will calculate the prime factors of 88045 and 88054.

Prime Factorization of 88045

Prime factors of 88045 are 5, 17609. Prime factorization of 88045 in exponential form is:

88045 = 51 × 176091

Prime Factorization of 88054

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

88054 = 21 × 440271

Now multiplying the highest exponent prime factors to calculate the LCM of 88045 and 88054.

LCM(88045,88054) = 51 × 176091 × 21 × 440271
LCM(88045,88054) = 7752714430