What is the Least Common Multiple of 70127 and 70131?
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 70127 and 70131 is 4918076637.
LCM(70127,70131) = 4918076637
Least Common Multiple of 70127 and 70131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70127 and 70131, than apply into the LCM equation.
GCF(70127,70131) = 1
LCM(70127,70131) = ( 70127 × 70131) / 1
LCM(70127,70131) = 4918076637 / 1
LCM(70127,70131) = 4918076637
Least Common Multiple (LCM) of 70127 and 70131 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70127 and 70131. First we will calculate the prime factors of 70127 and 70131.
Prime Factorization of 70127
Prime factors of 70127 are 23, 3049. Prime factorization of 70127 in exponential form is:
70127 = 231 × 30491
Prime Factorization of 70131
Prime factors of 70131 are 3, 97, 241. Prime factorization of 70131 in exponential form is:
70131 = 31 × 971 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 70127 and 70131.
LCM(70127,70131) = 231 × 30491 × 31 × 971 × 2411
LCM(70127,70131) = 4918076637
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