What is the Least Common Multiple of 90260 and 90272?
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 90272 is 2036987680.
LCM(90260,90272) = 2036987680
Least Common Multiple of 90260 and 90272 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 90272, than apply into the LCM equation.
GCF(90260,90272) = 4
LCM(90260,90272) = ( 90260 × 90272) / 4
LCM(90260,90272) = 8147950720 / 4
LCM(90260,90272) = 2036987680
Least Common Multiple (LCM) of 90260 and 90272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90260 and 90272. First we will calculate the prime factors of 90260 and 90272.
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 90272
Prime factors of 90272 are 2, 7, 13, 31. Prime factorization of 90272 in exponential form is:
90272 = 25 × 71 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 90260 and 90272.
LCM(90260,90272) = 25 × 51 × 45131 × 71 × 131 × 311
LCM(90260,90272) = 2036987680
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