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What is the Least Common Multiple of 88444 and 88455?

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 88444 and 88455 is 7823314020.

LCM(88444,88455) = 7823314020

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Least Common Multiple of 88444 and 88455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88444 and 88455, than apply into the LCM equation.

GCF(88444,88455) = 1
LCM(88444,88455) = ( 88444 × 88455) / 1
LCM(88444,88455) = 7823314020 / 1
LCM(88444,88455) = 7823314020

Least Common Multiple (LCM) of 88444 and 88455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88444 and 88455. First we will calculate the prime factors of 88444 and 88455.

Prime Factorization of 88444

Prime factors of 88444 are 2, 22111. Prime factorization of 88444 in exponential form is:

88444 = 22 × 221111

Prime Factorization of 88455

Prime factors of 88455 are 3, 5, 5897. Prime factorization of 88455 in exponential form is:

88455 = 31 × 51 × 58971

Now multiplying the highest exponent prime factors to calculate the LCM of 88444 and 88455.

LCM(88444,88455) = 22 × 221111 × 31 × 51 × 58971
LCM(88444,88455) = 7823314020