What is the Least Common Multiple of 77206 and 77226?
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 77206 and 77226 is 2981155278.
LCM(77206,77226) = 2981155278
Least Common Multiple of 77206 and 77226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77206 and 77226, than apply into the LCM equation.
GCF(77206,77226) = 2
LCM(77206,77226) = ( 77206 × 77226) / 2
LCM(77206,77226) = 5962310556 / 2
LCM(77206,77226) = 2981155278
Least Common Multiple (LCM) of 77206 and 77226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77206 and 77226. First we will calculate the prime factors of 77206 and 77226.
Prime Factorization of 77206
Prime factors of 77206 are 2, 38603. Prime factorization of 77206 in exponential form is:
77206 = 21 × 386031
Prime Factorization of 77226
Prime factors of 77226 are 2, 3, 61, 211. Prime factorization of 77226 in exponential form is:
77226 = 21 × 31 × 611 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 77206 and 77226.
LCM(77206,77226) = 21 × 386031 × 31 × 611 × 2111
LCM(77206,77226) = 2981155278
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