What is the Least Common Multiple of 93025 and 93033?
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 93025 and 93033 is 8654394825.
LCM(93025,93033) = 8654394825
Least Common Multiple of 93025 and 93033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93025 and 93033, than apply into the LCM equation.
GCF(93025,93033) = 1
LCM(93025,93033) = ( 93025 × 93033) / 1
LCM(93025,93033) = 8654394825 / 1
LCM(93025,93033) = 8654394825
Least Common Multiple (LCM) of 93025 and 93033 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93025 and 93033. First we will calculate the prime factors of 93025 and 93033.
Prime Factorization of 93025
Prime factors of 93025 are 5, 61. Prime factorization of 93025 in exponential form is:
93025 = 52 × 612
Prime Factorization of 93033
Prime factors of 93033 are 3, 10337. Prime factorization of 93033 in exponential form is:
93033 = 32 × 103371
Now multiplying the highest exponent prime factors to calculate the LCM of 93025 and 93033.
LCM(93025,93033) = 52 × 612 × 32 × 103371
LCM(93025,93033) = 8654394825
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