What is the Least Common Multiple of 35052 and 35072?
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 35052 and 35072 is 307335936.
LCM(35052,35072) = 307335936
Least Common Multiple of 35052 and 35072 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35052 and 35072, than apply into the LCM equation.
GCF(35052,35072) = 4
LCM(35052,35072) = ( 35052 × 35072) / 4
LCM(35052,35072) = 1229343744 / 4
LCM(35052,35072) = 307335936
Least Common Multiple (LCM) of 35052 and 35072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35052 and 35072. First we will calculate the prime factors of 35052 and 35072.
Prime Factorization of 35052
Prime factors of 35052 are 2, 3, 23, 127. Prime factorization of 35052 in exponential form is:
35052 = 22 × 31 × 231 × 1271
Prime Factorization of 35072
Prime factors of 35072 are 2, 137. Prime factorization of 35072 in exponential form is:
35072 = 28 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 35052 and 35072.
LCM(35052,35072) = 28 × 31 × 231 × 1271 × 1371
LCM(35052,35072) = 307335936
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