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What is the Least Common Multiple of 77476 and 77495?

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 77476 and 77495 is 6004002620.

LCM(77476,77495) = 6004002620

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Least Common Multiple of 77476 and 77495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77476 and 77495, than apply into the LCM equation.

GCF(77476,77495) = 1
LCM(77476,77495) = ( 77476 × 77495) / 1
LCM(77476,77495) = 6004002620 / 1
LCM(77476,77495) = 6004002620

Least Common Multiple (LCM) of 77476 and 77495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77476 and 77495. First we will calculate the prime factors of 77476 and 77495.

Prime Factorization of 77476

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

77476 = 22 × 71 × 27671

Prime Factorization of 77495

Prime factors of 77495 are 5, 11, 1409. Prime factorization of 77495 in exponential form is:

77495 = 51 × 111 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 77476 and 77495.

LCM(77476,77495) = 22 × 71 × 27671 × 51 × 111 × 14091
LCM(77476,77495) = 6004002620