What is the Least Common Multiple of 77025 and 77044?
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 77025 and 77044 is 5934314100.
LCM(77025,77044) = 5934314100
Least Common Multiple of 77025 and 77044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77025 and 77044, than apply into the LCM equation.
GCF(77025,77044) = 1
LCM(77025,77044) = ( 77025 × 77044) / 1
LCM(77025,77044) = 5934314100 / 1
LCM(77025,77044) = 5934314100
Least Common Multiple (LCM) of 77025 and 77044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77025 and 77044. First we will calculate the prime factors of 77025 and 77044.
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
Prime Factorization of 77044
Prime factors of 77044 are 2, 11, 17, 103. Prime factorization of 77044 in exponential form is:
77044 = 22 × 111 × 171 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 77025 and 77044.
LCM(77025,77044) = 31 × 52 × 131 × 791 × 22 × 111 × 171 × 1031
LCM(77025,77044) = 5934314100
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