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What is the Least Common Multiple of 77796 and 77801?

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 77796 and 77801 is 6052606596.

LCM(77796,77801) = 6052606596

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Least Common Multiple of 77796 and 77801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77796 and 77801, than apply into the LCM equation.

GCF(77796,77801) = 1
LCM(77796,77801) = ( 77796 × 77801) / 1
LCM(77796,77801) = 6052606596 / 1
LCM(77796,77801) = 6052606596

Least Common Multiple (LCM) of 77796 and 77801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77796 and 77801. First we will calculate the prime factors of 77796 and 77801.

Prime Factorization of 77796

Prime factors of 77796 are 2, 3, 2161. Prime factorization of 77796 in exponential form is:

77796 = 22 × 32 × 21611

Prime Factorization of 77801

Prime factors of 77801 are 77801. Prime factorization of 77801 in exponential form is:

77801 = 778011

Now multiplying the highest exponent prime factors to calculate the LCM of 77796 and 77801.

LCM(77796,77801) = 22 × 32 × 21611 × 778011
LCM(77796,77801) = 6052606596