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What is the Least Common Multiple of 88034 and 88043?

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 88034 and 88043 is 7750777462.

LCM(88034,88043) = 7750777462

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Least Common Multiple of 88034 and 88043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88034 and 88043, than apply into the LCM equation.

GCF(88034,88043) = 1
LCM(88034,88043) = ( 88034 × 88043) / 1
LCM(88034,88043) = 7750777462 / 1
LCM(88034,88043) = 7750777462

Least Common Multiple (LCM) of 88034 and 88043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88034 and 88043. First we will calculate the prime factors of 88034 and 88043.

Prime Factorization of 88034

Prime factors of 88034 are 2, 44017. Prime factorization of 88034 in exponential form is:

88034 = 21 × 440171

Prime Factorization of 88043

Prime factors of 88043 are 17, 5179. Prime factorization of 88043 in exponential form is:

88043 = 171 × 51791

Now multiplying the highest exponent prime factors to calculate the LCM of 88034 and 88043.

LCM(88034,88043) = 21 × 440171 × 171 × 51791
LCM(88034,88043) = 7750777462