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What is the Least Common Multiple of 77960 and 77969?

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 77960 and 77969 is 6078463240.

LCM(77960,77969) = 6078463240

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Least Common Multiple of 77960 and 77969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77960 and 77969, than apply into the LCM equation.

GCF(77960,77969) = 1
LCM(77960,77969) = ( 77960 × 77969) / 1
LCM(77960,77969) = 6078463240 / 1
LCM(77960,77969) = 6078463240

Least Common Multiple (LCM) of 77960 and 77969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77969. First we will calculate the prime factors of 77960 and 77969.

Prime Factorization of 77960

Prime factors of 77960 are 2, 5, 1949. Prime factorization of 77960 in exponential form is:

77960 = 23 × 51 × 19491

Prime Factorization of 77969

Prime factors of 77969 are 77969. Prime factorization of 77969 in exponential form is:

77969 = 779691

Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77969.

LCM(77960,77969) = 23 × 51 × 19491 × 779691
LCM(77960,77969) = 6078463240