What is the Least Common Multiple of 77021 and 77025?
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 77021 and 77025 is 5932542525.
LCM(77021,77025) = 5932542525
Least Common Multiple of 77021 and 77025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77021 and 77025, than apply into the LCM equation.
GCF(77021,77025) = 1
LCM(77021,77025) = ( 77021 × 77025) / 1
LCM(77021,77025) = 5932542525 / 1
LCM(77021,77025) = 5932542525
Least Common Multiple (LCM) of 77021 and 77025 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77021 and 77025. First we will calculate the prime factors of 77021 and 77025.
Prime Factorization of 77021
Prime factors of 77021 are 7, 11003. Prime factorization of 77021 in exponential form is:
77021 = 71 × 110031
Prime Factorization of 77025
Prime factors of 77025 are 3, 5, 13, 79. Prime factorization of 77025 in exponential form is:
77025 = 31 × 52 × 131 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 77021 and 77025.
LCM(77021,77025) = 71 × 110031 × 31 × 52 × 131 × 791
LCM(77021,77025) = 5932542525
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