What is the Least Common Multiple of 91480 and 91484?
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 91480 and 91484 is 2092239080.
LCM(91480,91484) = 2092239080
Least Common Multiple of 91480 and 91484 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91480 and 91484, than apply into the LCM equation.
GCF(91480,91484) = 4
LCM(91480,91484) = ( 91480 × 91484) / 4
LCM(91480,91484) = 8368956320 / 4
LCM(91480,91484) = 2092239080
Least Common Multiple (LCM) of 91480 and 91484 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91480 and 91484. First we will calculate the prime factors of 91480 and 91484.
Prime Factorization of 91480
Prime factors of 91480 are 2, 5, 2287. Prime factorization of 91480 in exponential form is:
91480 = 23 × 51 × 22871
Prime Factorization of 91484
Prime factors of 91484 are 2, 22871. Prime factorization of 91484 in exponential form is:
91484 = 22 × 228711
Now multiplying the highest exponent prime factors to calculate the LCM of 91480 and 91484.
LCM(91480,91484) = 23 × 51 × 22871 × 228711
LCM(91480,91484) = 2092239080
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