What is the Least Common Multiple of 77026 and 77035?
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 77026 and 77035 is 5933697910.
LCM(77026,77035) = 5933697910
Least Common Multiple of 77026 and 77035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77026 and 77035, than apply into the LCM equation.
GCF(77026,77035) = 1
LCM(77026,77035) = ( 77026 × 77035) / 1
LCM(77026,77035) = 5933697910 / 1
LCM(77026,77035) = 5933697910
Least Common Multiple (LCM) of 77026 and 77035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77026 and 77035. First we will calculate the prime factors of 77026 and 77035.
Prime Factorization of 77026
Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:
77026 = 21 × 191 × 20271
Prime Factorization of 77035
Prime factors of 77035 are 5, 7, 31, 71. Prime factorization of 77035 in exponential form is:
77035 = 51 × 71 × 311 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 77026 and 77035.
LCM(77026,77035) = 21 × 191 × 20271 × 51 × 71 × 311 × 711
LCM(77026,77035) = 5933697910
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