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What is the Least Common Multiple of 77471 and 77476?

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 77471 and 77476 is 6002143196.

LCM(77471,77476) = 6002143196

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Least Common Multiple of 77471 and 77476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77471 and 77476, than apply into the LCM equation.

GCF(77471,77476) = 1
LCM(77471,77476) = ( 77471 × 77476) / 1
LCM(77471,77476) = 6002143196 / 1
LCM(77471,77476) = 6002143196

Least Common Multiple (LCM) of 77471 and 77476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77471 and 77476. First we will calculate the prime factors of 77471 and 77476.

Prime Factorization of 77471

Prime factors of 77471 are 77471. Prime factorization of 77471 in exponential form is:

77471 = 774711

Prime Factorization of 77476

Prime factors of 77476 are 2, 7, 2767. Prime factorization of 77476 in exponential form is:

77476 = 22 × 71 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 77471 and 77476.

LCM(77471,77476) = 774711 × 22 × 71 × 27671
LCM(77471,77476) = 6002143196