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What is the Least Common Multiple of 88033 and 88048?

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 88033 and 88048 is 7751129584.

LCM(88033,88048) = 7751129584

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Least Common Multiple of 88033 and 88048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88033 and 88048, than apply into the LCM equation.

GCF(88033,88048) = 1
LCM(88033,88048) = ( 88033 × 88048) / 1
LCM(88033,88048) = 7751129584 / 1
LCM(88033,88048) = 7751129584

Least Common Multiple (LCM) of 88033 and 88048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88033 and 88048. First we will calculate the prime factors of 88033 and 88048.

Prime Factorization of 88033

Prime factors of 88033 are 11, 53, 151. Prime factorization of 88033 in exponential form is:

88033 = 111 × 531 × 1511

Prime Factorization of 88048

Prime factors of 88048 are 2, 5503. Prime factorization of 88048 in exponential form is:

88048 = 24 × 55031

Now multiplying the highest exponent prime factors to calculate the LCM of 88033 and 88048.

LCM(88033,88048) = 111 × 531 × 1511 × 24 × 55031
LCM(88033,88048) = 7751129584