What is the Least Common Multiple of 90154 and 90160?
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 90154 and 90160 is 4064142320.
LCM(90154,90160) = 4064142320
Least Common Multiple of 90154 and 90160 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90154 and 90160, than apply into the LCM equation.
GCF(90154,90160) = 2
LCM(90154,90160) = ( 90154 × 90160) / 2
LCM(90154,90160) = 8128284640 / 2
LCM(90154,90160) = 4064142320
Least Common Multiple (LCM) of 90154 and 90160 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90154 and 90160. First we will calculate the prime factors of 90154 and 90160.
Prime Factorization of 90154
Prime factors of 90154 are 2, 45077. Prime factorization of 90154 in exponential form is:
90154 = 21 × 450771
Prime Factorization of 90160
Prime factors of 90160 are 2, 5, 7, 23. Prime factorization of 90160 in exponential form is:
90160 = 24 × 51 × 72 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 90154 and 90160.
LCM(90154,90160) = 24 × 450771 × 51 × 72 × 231
LCM(90154,90160) = 4064142320
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