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What is the Least Common Multiple of 76816 and 76835?

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 76816 and 76835 is 5902157360.

LCM(76816,76835) = 5902157360

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Least Common Multiple of 76816 and 76835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76816 and 76835, than apply into the LCM equation.

GCF(76816,76835) = 1
LCM(76816,76835) = ( 76816 × 76835) / 1
LCM(76816,76835) = 5902157360 / 1
LCM(76816,76835) = 5902157360

Least Common Multiple (LCM) of 76816 and 76835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76816 and 76835. First we will calculate the prime factors of 76816 and 76835.

Prime Factorization of 76816

Prime factors of 76816 are 2, 4801. Prime factorization of 76816 in exponential form is:

76816 = 24 × 48011

Prime Factorization of 76835

Prime factors of 76835 are 5, 11, 127. Prime factorization of 76835 in exponential form is:

76835 = 51 × 112 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 76816 and 76835.

LCM(76816,76835) = 24 × 48011 × 51 × 112 × 1271
LCM(76816,76835) = 5902157360