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What is the Least Common Multiple of 77773 and 77793?

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 77773 and 77793 is 6050194989.

LCM(77773,77793) = 6050194989

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Least Common Multiple of 77773 and 77793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77773 and 77793, than apply into the LCM equation.

GCF(77773,77793) = 1
LCM(77773,77793) = ( 77773 × 77793) / 1
LCM(77773,77793) = 6050194989 / 1
LCM(77773,77793) = 6050194989

Least Common Multiple (LCM) of 77773 and 77793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77773 and 77793. First we will calculate the prime factors of 77773 and 77793.

Prime Factorization of 77773

Prime factors of 77773 are 77773. Prime factorization of 77773 in exponential form is:

77773 = 777731

Prime Factorization of 77793

Prime factors of 77793 are 3, 25931. Prime factorization of 77793 in exponential form is:

77793 = 31 × 259311

Now multiplying the highest exponent prime factors to calculate the LCM of 77773 and 77793.

LCM(77773,77793) = 777731 × 31 × 259311
LCM(77773,77793) = 6050194989