What is the Least Common Multiple of 77086 and 77094?
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 77086 and 77094 is 2971434042.
LCM(77086,77094) = 2971434042
Least Common Multiple of 77086 and 77094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77086 and 77094, than apply into the LCM equation.
GCF(77086,77094) = 2
LCM(77086,77094) = ( 77086 × 77094) / 2
LCM(77086,77094) = 5942868084 / 2
LCM(77086,77094) = 2971434042
Least Common Multiple (LCM) of 77086 and 77094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77086 and 77094. First we will calculate the prime factors of 77086 and 77094.
Prime Factorization of 77086
Prime factors of 77086 are 2, 38543. Prime factorization of 77086 in exponential form is:
77086 = 21 × 385431
Prime Factorization of 77094
Prime factors of 77094 are 2, 3, 4283. Prime factorization of 77094 in exponential form is:
77094 = 21 × 32 × 42831
Now multiplying the highest exponent prime factors to calculate the LCM of 77086 and 77094.
LCM(77086,77094) = 21 × 385431 × 32 × 42831
LCM(77086,77094) = 2971434042
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