What is the Least Common Multiple of 77331 and 77336?
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 77331 and 77336 is 5980470216.
LCM(77331,77336) = 5980470216
Least Common Multiple of 77331 and 77336 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77331 and 77336, than apply into the LCM equation.
GCF(77331,77336) = 1
LCM(77331,77336) = ( 77331 × 77336) / 1
LCM(77331,77336) = 5980470216 / 1
LCM(77331,77336) = 5980470216
Least Common Multiple (LCM) of 77331 and 77336 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77331 and 77336. First we will calculate the prime factors of 77331 and 77336.
Prime Factorization of 77331
Prime factors of 77331 are 3, 149, 173. Prime factorization of 77331 in exponential form is:
77331 = 31 × 1491 × 1731
Prime Factorization of 77336
Prime factors of 77336 are 2, 7, 1381. Prime factorization of 77336 in exponential form is:
77336 = 23 × 71 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 77331 and 77336.
LCM(77331,77336) = 31 × 1491 × 1731 × 23 × 71 × 13811
LCM(77331,77336) = 5980470216
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Related Least Common Multiples of 77336
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