What is the Least Common Multiple of 30877 and 30886?
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 30877 and 30886 is 953667022.
LCM(30877,30886) = 953667022
Least Common Multiple of 30877 and 30886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30877 and 30886, than apply into the LCM equation.
GCF(30877,30886) = 1
LCM(30877,30886) = ( 30877 × 30886) / 1
LCM(30877,30886) = 953667022 / 1
LCM(30877,30886) = 953667022
Least Common Multiple (LCM) of 30877 and 30886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30877 and 30886. First we will calculate the prime factors of 30877 and 30886.
Prime Factorization of 30877
Prime factors of 30877 are 7, 11, 401. Prime factorization of 30877 in exponential form is:
30877 = 71 × 111 × 4011
Prime Factorization of 30886
Prime factors of 30886 are 2, 15443. Prime factorization of 30886 in exponential form is:
30886 = 21 × 154431
Now multiplying the highest exponent prime factors to calculate the LCM of 30877 and 30886.
LCM(30877,30886) = 71 × 111 × 4011 × 21 × 154431
LCM(30877,30886) = 953667022
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