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What is the Least Common Multiple of 88234 and 88253?

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 88234 and 88253 is 7786915202.

LCM(88234,88253) = 7786915202

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Least Common Multiple of 88234 and 88253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88234 and 88253, than apply into the LCM equation.

GCF(88234,88253) = 1
LCM(88234,88253) = ( 88234 × 88253) / 1
LCM(88234,88253) = 7786915202 / 1
LCM(88234,88253) = 7786915202

Least Common Multiple (LCM) of 88234 and 88253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88234 and 88253. First we will calculate the prime factors of 88234 and 88253.

Prime Factorization of 88234

Prime factors of 88234 are 2, 157, 281. Prime factorization of 88234 in exponential form is:

88234 = 21 × 1571 × 2811

Prime Factorization of 88253

Prime factors of 88253 are 11, 71, 113. Prime factorization of 88253 in exponential form is:

88253 = 111 × 711 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 88234 and 88253.

LCM(88234,88253) = 21 × 1571 × 2811 × 111 × 711 × 1131
LCM(88234,88253) = 7786915202