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What is the Least Common Multiple of 77294 and 77313?

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 77294 and 77313 is 5975831022.

LCM(77294,77313) = 5975831022

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Least Common Multiple of 77294 and 77313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77294 and 77313, than apply into the LCM equation.

GCF(77294,77313) = 1
LCM(77294,77313) = ( 77294 × 77313) / 1
LCM(77294,77313) = 5975831022 / 1
LCM(77294,77313) = 5975831022

Least Common Multiple (LCM) of 77294 and 77313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77294 and 77313. First we will calculate the prime factors of 77294 and 77313.

Prime Factorization of 77294

Prime factors of 77294 are 2, 7, 5521. Prime factorization of 77294 in exponential form is:

77294 = 21 × 71 × 55211

Prime Factorization of 77313

Prime factors of 77313 are 3, 25771. Prime factorization of 77313 in exponential form is:

77313 = 31 × 257711

Now multiplying the highest exponent prime factors to calculate the LCM of 77294 and 77313.

LCM(77294,77313) = 21 × 71 × 55211 × 31 × 257711
LCM(77294,77313) = 5975831022