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What is the Least Common Multiple of 88042 and 88053?

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 88042 and 88053 is 7752362226.

LCM(88042,88053) = 7752362226

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Least Common Multiple of 88042 and 88053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88042 and 88053, than apply into the LCM equation.

GCF(88042,88053) = 1
LCM(88042,88053) = ( 88042 × 88053) / 1
LCM(88042,88053) = 7752362226 / 1
LCM(88042,88053) = 7752362226

Least Common Multiple (LCM) of 88042 and 88053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88042 and 88053. First we will calculate the prime factors of 88042 and 88053.

Prime Factorization of 88042

Prime factors of 88042 are 2, 44021. Prime factorization of 88042 in exponential form is:

88042 = 21 × 440211

Prime Factorization of 88053

Prime factors of 88053 are 3, 7, 599. Prime factorization of 88053 in exponential form is:

88053 = 31 × 72 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 88042 and 88053.

LCM(88042,88053) = 21 × 440211 × 31 × 72 × 5991
LCM(88042,88053) = 7752362226