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What is the Least Common Multiple of 77087 and 77103?

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 77087 and 77103 is 5943638961.

LCM(77087,77103) = 5943638961

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Least Common Multiple of 77087 and 77103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77087 and 77103, than apply into the LCM equation.

GCF(77087,77103) = 1
LCM(77087,77103) = ( 77087 × 77103) / 1
LCM(77087,77103) = 5943638961 / 1
LCM(77087,77103) = 5943638961

Least Common Multiple (LCM) of 77087 and 77103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77087 and 77103. First we will calculate the prime factors of 77087 and 77103.

Prime Factorization of 77087

Prime factors of 77087 are 157, 491. Prime factorization of 77087 in exponential form is:

77087 = 1571 × 4911

Prime Factorization of 77103

Prime factors of 77103 are 3, 13, 659. Prime factorization of 77103 in exponential form is:

77103 = 32 × 131 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 77087 and 77103.

LCM(77087,77103) = 1571 × 4911 × 32 × 131 × 6591
LCM(77087,77103) = 5943638961