What is the Least Common Multiple of 77387 and 77398?
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 77398 is 5989599026.
LCM(77387,77398) = 5989599026
Least Common Multiple of 77387 and 77398 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 77398, than apply into the LCM equation.
GCF(77387,77398) = 1
LCM(77387,77398) = ( 77387 × 77398) / 1
LCM(77387,77398) = 5989599026 / 1
LCM(77387,77398) = 5989599026
Least Common Multiple (LCM) of 77387 and 77398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77387 and 77398. First we will calculate the prime factors of 77387 and 77398.
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 77398
Prime factors of 77398 are 2, 38699. Prime factorization of 77398 in exponential form is:
77398 = 21 × 386991
Now multiplying the highest exponent prime factors to calculate the LCM of 77387 and 77398.
LCM(77387,77398) = 191 × 40731 × 21 × 386991
LCM(77387,77398) = 5989599026
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