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What is the Least Common Multiple of 77387 and 77397?

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 77387 and 77397 is 5989521639.

LCM(77387,77397) = 5989521639

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Least Common Multiple of 77387 and 77397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77387 and 77397, than apply into the LCM equation.

GCF(77387,77397) = 1
LCM(77387,77397) = ( 77387 × 77397) / 1
LCM(77387,77397) = 5989521639 / 1
LCM(77387,77397) = 5989521639

Least Common Multiple (LCM) of 77387 and 77397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77387 and 77397. First we will calculate the prime factors of 77387 and 77397.

Prime Factorization of 77387

Prime factors of 77387 are 19, 4073. Prime factorization of 77387 in exponential form is:

77387 = 191 × 40731

Prime Factorization of 77397

Prime factors of 77397 are 3, 25799. Prime factorization of 77397 in exponential form is:

77397 = 31 × 257991

Now multiplying the highest exponent prime factors to calculate the LCM of 77387 and 77397.

LCM(77387,77397) = 191 × 40731 × 31 × 257991
LCM(77387,77397) = 5989521639