What is the Least Common Multiple of 95037 and 95053?
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 95037 and 95053 is 9033551961.
LCM(95037,95053) = 9033551961
Least Common Multiple of 95037 and 95053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95037 and 95053, than apply into the LCM equation.
GCF(95037,95053) = 1
LCM(95037,95053) = ( 95037 × 95053) / 1
LCM(95037,95053) = 9033551961 / 1
LCM(95037,95053) = 9033551961
Least Common Multiple (LCM) of 95037 and 95053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95037 and 95053. First we will calculate the prime factors of 95037 and 95053.
Prime Factorization of 95037
Prime factors of 95037 are 3, 79, 401. Prime factorization of 95037 in exponential form is:
95037 = 31 × 791 × 4011
Prime Factorization of 95053
Prime factors of 95053 are 7, 37, 367. Prime factorization of 95053 in exponential form is:
95053 = 71 × 371 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 95037 and 95053.
LCM(95037,95053) = 31 × 791 × 4011 × 71 × 371 × 3671
LCM(95037,95053) = 9033551961
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