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What is the Least Common Multiple of 77432 and 77437?

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 77432 and 77437 is 5996101784.

LCM(77432,77437) = 5996101784

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Least Common Multiple of 77432 and 77437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77432 and 77437, than apply into the LCM equation.

GCF(77432,77437) = 1
LCM(77432,77437) = ( 77432 × 77437) / 1
LCM(77432,77437) = 5996101784 / 1
LCM(77432,77437) = 5996101784

Least Common Multiple (LCM) of 77432 and 77437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77432 and 77437. First we will calculate the prime factors of 77432 and 77437.

Prime Factorization of 77432

Prime factors of 77432 are 2, 9679. Prime factorization of 77432 in exponential form is:

77432 = 23 × 96791

Prime Factorization of 77437

Prime factors of 77437 are 211, 367. Prime factorization of 77437 in exponential form is:

77437 = 2111 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 77432 and 77437.

LCM(77432,77437) = 23 × 96791 × 2111 × 3671
LCM(77432,77437) = 5996101784