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What is the Least Common Multiple of 73256 and 73276?

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 73256 and 73276 is 1341976664.

LCM(73256,73276) = 1341976664

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Least Common Multiple of 73256 and 73276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73256 and 73276, than apply into the LCM equation.

GCF(73256,73276) = 4
LCM(73256,73276) = ( 73256 × 73276) / 4
LCM(73256,73276) = 5367906656 / 4
LCM(73256,73276) = 1341976664

Least Common Multiple (LCM) of 73256 and 73276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73256 and 73276. First we will calculate the prime factors of 73256 and 73276.

Prime Factorization of 73256

Prime factors of 73256 are 2, 9157. Prime factorization of 73256 in exponential form is:

73256 = 23 × 91571

Prime Factorization of 73276

Prime factors of 73276 are 2, 7, 2617. Prime factorization of 73276 in exponential form is:

73276 = 22 × 71 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 73256 and 73276.

LCM(73256,73276) = 23 × 91571 × 71 × 26171
LCM(73256,73276) = 1341976664