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What is the Least Common Multiple of 88437 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 88437 and 88455 is 2607564945.

LCM(88437,88455) = 2607564945

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Least Common Multiple of 88437 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 88437 and 88455, than apply into the LCM equation.

GCF(88437,88455) = 3
LCM(88437,88455) = ( 88437 × 88455) / 3
LCM(88437,88455) = 7822694835 / 3
LCM(88437,88455) = 2607564945

Least Common Multiple (LCM) of 88437 and 88455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88437 and 88455. First we will calculate the prime factors of 88437 and 88455.

Prime Factorization of 88437

Prime factors of 88437 are 3, 41, 719. Prime factorization of 88437 in exponential form is:

88437 = 31 × 411 × 7191

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 88437 and 88455.

LCM(88437,88455) = 31 × 411 × 7191 × 51 × 58971
LCM(88437,88455) = 2607564945