What is the Least Common Multiple of 90260 and 90265?
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 90260 and 90265 is 1629463780.
LCM(90260,90265) = 1629463780
Least Common Multiple of 90260 and 90265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90260 and 90265, than apply into the LCM equation.
GCF(90260,90265) = 5
LCM(90260,90265) = ( 90260 × 90265) / 5
LCM(90260,90265) = 8147318900 / 5
LCM(90260,90265) = 1629463780
Least Common Multiple (LCM) of 90260 and 90265 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90260 and 90265. First we will calculate the prime factors of 90260 and 90265.
Prime Factorization of 90260
Prime factors of 90260 are 2, 5, 4513. Prime factorization of 90260 in exponential form is:
90260 = 22 × 51 × 45131
Prime Factorization of 90265
Prime factors of 90265 are 5, 7, 2579. Prime factorization of 90265 in exponential form is:
90265 = 51 × 71 × 25791
Now multiplying the highest exponent prime factors to calculate the LCM of 90260 and 90265.
LCM(90260,90265) = 22 × 51 × 45131 × 71 × 25791
LCM(90260,90265) = 1629463780
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