What is the Least Common Multiple of 70249 and 70256?
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 70249 and 70256 is 4935413744.
LCM(70249,70256) = 4935413744
Least Common Multiple of 70249 and 70256 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70249 and 70256, than apply into the LCM equation.
GCF(70249,70256) = 1
LCM(70249,70256) = ( 70249 × 70256) / 1
LCM(70249,70256) = 4935413744 / 1
LCM(70249,70256) = 4935413744
Least Common Multiple (LCM) of 70249 and 70256 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70249 and 70256. First we will calculate the prime factors of 70249 and 70256.
Prime Factorization of 70249
Prime factors of 70249 are 70249. Prime factorization of 70249 in exponential form is:
70249 = 702491
Prime Factorization of 70256
Prime factors of 70256 are 2, 4391. Prime factorization of 70256 in exponential form is:
70256 = 24 × 43911
Now multiplying the highest exponent prime factors to calculate the LCM of 70249 and 70256.
LCM(70249,70256) = 702491 × 24 × 43911
LCM(70249,70256) = 4935413744
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