What is the Least Common Multiple of 88877 and 88881?
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 88877 and 88881 is 7899476637.
LCM(88877,88881) = 7899476637
Least Common Multiple of 88877 and 88881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88877 and 88881, than apply into the LCM equation.
GCF(88877,88881) = 1
LCM(88877,88881) = ( 88877 × 88881) / 1
LCM(88877,88881) = 7899476637 / 1
LCM(88877,88881) = 7899476637
Least Common Multiple (LCM) of 88877 and 88881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88877 and 88881. First we will calculate the prime factors of 88877 and 88881.
Prime Factorization of 88877
Prime factors of 88877 are 31, 47, 61. Prime factorization of 88877 in exponential form is:
88877 = 311 × 471 × 611
Prime Factorization of 88881
Prime factors of 88881 are 3, 13, 43, 53. Prime factorization of 88881 in exponential form is:
88881 = 31 × 131 × 431 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 88877 and 88881.
LCM(88877,88881) = 311 × 471 × 611 × 31 × 131 × 431 × 531
LCM(88877,88881) = 7899476637
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