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What is the Least Common Multiple of 88807 and 88824?

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 88807 and 88824 is 7888192968.

LCM(88807,88824) = 7888192968

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Least Common Multiple of 88807 and 88824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88807 and 88824, than apply into the LCM equation.

GCF(88807,88824) = 1
LCM(88807,88824) = ( 88807 × 88824) / 1
LCM(88807,88824) = 7888192968 / 1
LCM(88807,88824) = 7888192968

Least Common Multiple (LCM) of 88807 and 88824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88807 and 88824. First we will calculate the prime factors of 88807 and 88824.

Prime Factorization of 88807

Prime factors of 88807 are 88807. Prime factorization of 88807 in exponential form is:

88807 = 888071

Prime Factorization of 88824

Prime factors of 88824 are 2, 3, 3701. Prime factorization of 88824 in exponential form is:

88824 = 23 × 31 × 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 88807 and 88824.

LCM(88807,88824) = 888071 × 23 × 31 × 37011
LCM(88807,88824) = 7888192968