What is the Least Common Multiple of 77086 and 77095?
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 77095 is 5942945170.
LCM(77086,77095) = 5942945170
Least Common Multiple of 77086 and 77095 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 77095, than apply into the LCM equation.
GCF(77086,77095) = 1
LCM(77086,77095) = ( 77086 × 77095) / 1
LCM(77086,77095) = 5942945170 / 1
LCM(77086,77095) = 5942945170
Least Common Multiple (LCM) of 77086 and 77095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77086 and 77095. First we will calculate the prime factors of 77086 and 77095.
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 77095
Prime factors of 77095 are 5, 17, 907. Prime factorization of 77095 in exponential form is:
77095 = 51 × 171 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 77086 and 77095.
LCM(77086,77095) = 21 × 385431 × 51 × 171 × 9071
LCM(77086,77095) = 5942945170
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