What is the Least Common Multiple of 90127 and 90147?
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 90127 and 90147 is 8124678669.
LCM(90127,90147) = 8124678669
Least Common Multiple of 90127 and 90147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90127 and 90147, than apply into the LCM equation.
GCF(90127,90147) = 1
LCM(90127,90147) = ( 90127 × 90147) / 1
LCM(90127,90147) = 8124678669 / 1
LCM(90127,90147) = 8124678669
Least Common Multiple (LCM) of 90127 and 90147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90127 and 90147. First we will calculate the prime factors of 90127 and 90147.
Prime Factorization of 90127
Prime factors of 90127 are 90127. Prime factorization of 90127 in exponential form is:
90127 = 901271
Prime Factorization of 90147
Prime factors of 90147 are 3, 151, 199. Prime factorization of 90147 in exponential form is:
90147 = 31 × 1511 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 90127 and 90147.
LCM(90127,90147) = 901271 × 31 × 1511 × 1991
LCM(90127,90147) = 8124678669
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