What is the Least Common Multiple of 35354 and 35364?
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 35354 and 35364 is 625129428.
LCM(35354,35364) = 625129428
Least Common Multiple of 35354 and 35364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35354 and 35364, than apply into the LCM equation.
GCF(35354,35364) = 2
LCM(35354,35364) = ( 35354 × 35364) / 2
LCM(35354,35364) = 1250258856 / 2
LCM(35354,35364) = 625129428
Least Common Multiple (LCM) of 35354 and 35364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35354 and 35364. First we will calculate the prime factors of 35354 and 35364.
Prime Factorization of 35354
Prime factors of 35354 are 2, 11, 1607. Prime factorization of 35354 in exponential form is:
35354 = 21 × 111 × 16071
Prime Factorization of 35364
Prime factors of 35364 are 2, 3, 7, 421. Prime factorization of 35364 in exponential form is:
35364 = 22 × 31 × 71 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 35354 and 35364.
LCM(35354,35364) = 22 × 111 × 16071 × 31 × 71 × 4211
LCM(35354,35364) = 625129428
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