What is the Least Common Multiple of 77405 and 77411?
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 77405 and 77411 is 5991998455.
LCM(77405,77411) = 5991998455
Least Common Multiple of 77405 and 77411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77405 and 77411, than apply into the LCM equation.
GCF(77405,77411) = 1
LCM(77405,77411) = ( 77405 × 77411) / 1
LCM(77405,77411) = 5991998455 / 1
LCM(77405,77411) = 5991998455
Least Common Multiple (LCM) of 77405 and 77411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77405 and 77411. First we will calculate the prime factors of 77405 and 77411.
Prime Factorization of 77405
Prime factors of 77405 are 5, 113, 137. Prime factorization of 77405 in exponential form is:
77405 = 51 × 1131 × 1371
Prime Factorization of 77411
Prime factors of 77411 are 199, 389. Prime factorization of 77411 in exponential form is:
77411 = 1991 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 77405 and 77411.
LCM(77405,77411) = 51 × 1131 × 1371 × 1991 × 3891
LCM(77405,77411) = 5991998455
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Related Least Common Multiples of 77411
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