What is the Least Common Multiple of 77015 and 77026?
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 77015 and 77026 is 5932157390.
LCM(77015,77026) = 5932157390
Least Common Multiple of 77015 and 77026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77015 and 77026, than apply into the LCM equation.
GCF(77015,77026) = 1
LCM(77015,77026) = ( 77015 × 77026) / 1
LCM(77015,77026) = 5932157390 / 1
LCM(77015,77026) = 5932157390
Least Common Multiple (LCM) of 77015 and 77026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77015 and 77026. First we will calculate the prime factors of 77015 and 77026.
Prime Factorization of 77015
Prime factors of 77015 are 5, 73, 211. Prime factorization of 77015 in exponential form is:
77015 = 51 × 731 × 2111
Prime Factorization of 77026
Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:
77026 = 21 × 191 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 77015 and 77026.
LCM(77015,77026) = 51 × 731 × 2111 × 21 × 191 × 20271
LCM(77015,77026) = 5932157390
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