What is the Least Common Multiple of 77363 and 77382?
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 77363 and 77382 is 5986503666.
LCM(77363,77382) = 5986503666
Least Common Multiple of 77363 and 77382 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77363 and 77382, than apply into the LCM equation.
GCF(77363,77382) = 1
LCM(77363,77382) = ( 77363 × 77382) / 1
LCM(77363,77382) = 5986503666 / 1
LCM(77363,77382) = 5986503666
Least Common Multiple (LCM) of 77363 and 77382 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77363 and 77382. First we will calculate the prime factors of 77363 and 77382.
Prime Factorization of 77363
Prime factors of 77363 are 11, 13, 541. Prime factorization of 77363 in exponential form is:
77363 = 111 × 131 × 5411
Prime Factorization of 77382
Prime factors of 77382 are 2, 3, 1433. Prime factorization of 77382 in exponential form is:
77382 = 21 × 33 × 14331
Now multiplying the highest exponent prime factors to calculate the LCM of 77363 and 77382.
LCM(77363,77382) = 111 × 131 × 5411 × 21 × 33 × 14331
LCM(77363,77382) = 5986503666
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