What is the Least Common Multiple of 70025 and 70045?
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 70025 and 70045 is 980980225.
LCM(70025,70045) = 980980225
Least Common Multiple of 70025 and 70045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70025 and 70045, than apply into the LCM equation.
GCF(70025,70045) = 5
LCM(70025,70045) = ( 70025 × 70045) / 5
LCM(70025,70045) = 4904901125 / 5
LCM(70025,70045) = 980980225
Least Common Multiple (LCM) of 70025 and 70045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70025 and 70045. First we will calculate the prime factors of 70025 and 70045.
Prime Factorization of 70025
Prime factors of 70025 are 5, 2801. Prime factorization of 70025 in exponential form is:
70025 = 52 × 28011
Prime Factorization of 70045
Prime factors of 70045 are 5, 14009. Prime factorization of 70045 in exponential form is:
70045 = 51 × 140091
Now multiplying the highest exponent prime factors to calculate the LCM of 70025 and 70045.
LCM(70025,70045) = 52 × 28011 × 140091
LCM(70025,70045) = 980980225
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