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What is the Least Common Multiple of 73816 and 73826?

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 73816 and 73826 is 2724770008.

LCM(73816,73826) = 2724770008

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Least Common Multiple of 73816 and 73826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73816 and 73826, than apply into the LCM equation.

GCF(73816,73826) = 2
LCM(73816,73826) = ( 73816 × 73826) / 2
LCM(73816,73826) = 5449540016 / 2
LCM(73816,73826) = 2724770008

Least Common Multiple (LCM) of 73816 and 73826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73816 and 73826. First we will calculate the prime factors of 73816 and 73826.

Prime Factorization of 73816

Prime factors of 73816 are 2, 9227. Prime factorization of 73816 in exponential form is:

73816 = 23 × 92271

Prime Factorization of 73826

Prime factors of 73826 are 2, 36913. Prime factorization of 73826 in exponential form is:

73826 = 21 × 369131

Now multiplying the highest exponent prime factors to calculate the LCM of 73816 and 73826.

LCM(73816,73826) = 23 × 92271 × 369131
LCM(73816,73826) = 2724770008