What is the Least Common Multiple of 70274 and 70294?
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 70274 and 70294 is 2469920278.
LCM(70274,70294) = 2469920278
Least Common Multiple of 70274 and 70294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70274 and 70294, than apply into the LCM equation.
GCF(70274,70294) = 2
LCM(70274,70294) = ( 70274 × 70294) / 2
LCM(70274,70294) = 4939840556 / 2
LCM(70274,70294) = 2469920278
Least Common Multiple (LCM) of 70274 and 70294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70274 and 70294. First we will calculate the prime factors of 70274 and 70294.
Prime Factorization of 70274
Prime factors of 70274 are 2, 41, 857. Prime factorization of 70274 in exponential form is:
70274 = 21 × 411 × 8571
Prime Factorization of 70294
Prime factors of 70294 are 2, 7, 5021. Prime factorization of 70294 in exponential form is:
70294 = 21 × 71 × 50211
Now multiplying the highest exponent prime factors to calculate the LCM of 70274 and 70294.
LCM(70274,70294) = 21 × 411 × 8571 × 71 × 50211
LCM(70274,70294) = 2469920278
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