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What is the Least Common Multiple of 77331 and 77346?

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 77331 and 77346 is 1993747842.

LCM(77331,77346) = 1993747842

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Least Common Multiple of 77331 and 77346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77331 and 77346, than apply into the LCM equation.

GCF(77331,77346) = 3
LCM(77331,77346) = ( 77331 × 77346) / 3
LCM(77331,77346) = 5981243526 / 3
LCM(77331,77346) = 1993747842

Least Common Multiple (LCM) of 77331 and 77346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77331 and 77346. First we will calculate the prime factors of 77331 and 77346.

Prime Factorization of 77331

Prime factors of 77331 are 3, 149, 173. Prime factorization of 77331 in exponential form is:

77331 = 31 × 1491 × 1731

Prime Factorization of 77346

Prime factors of 77346 are 2, 3, 4297. Prime factorization of 77346 in exponential form is:

77346 = 21 × 32 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 77331 and 77346.

LCM(77331,77346) = 32 × 1491 × 1731 × 21 × 42971
LCM(77331,77346) = 1993747842