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What is the Least Common Multiple of 73223 and 73237?

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 73223 and 73237 is 5362632851.

LCM(73223,73237) = 5362632851

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Least Common Multiple of 73223 and 73237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73223 and 73237, than apply into the LCM equation.

GCF(73223,73237) = 1
LCM(73223,73237) = ( 73223 × 73237) / 1
LCM(73223,73237) = 5362632851 / 1
LCM(73223,73237) = 5362632851

Least Common Multiple (LCM) of 73223 and 73237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73223 and 73237. First we will calculate the prime factors of 73223 and 73237.

Prime Factorization of 73223

Prime factors of 73223 are 37, 1979. Prime factorization of 73223 in exponential form is:

73223 = 371 × 19791

Prime Factorization of 73237

Prime factors of 73237 are 73237. Prime factorization of 73237 in exponential form is:

73237 = 732371

Now multiplying the highest exponent prime factors to calculate the LCM of 73223 and 73237.

LCM(73223,73237) = 371 × 19791 × 732371
LCM(73223,73237) = 5362632851