What is the Least Common Multiple of 95631 and 95638?
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 95631 and 95638 is 9145957578.
LCM(95631,95638) = 9145957578
Least Common Multiple of 95631 and 95638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95631 and 95638, than apply into the LCM equation.
GCF(95631,95638) = 1
LCM(95631,95638) = ( 95631 × 95638) / 1
LCM(95631,95638) = 9145957578 / 1
LCM(95631,95638) = 9145957578
Least Common Multiple (LCM) of 95631 and 95638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95631 and 95638. First we will calculate the prime factors of 95631 and 95638.
Prime Factorization of 95631
Prime factors of 95631 are 3, 127, 251. Prime factorization of 95631 in exponential form is:
95631 = 31 × 1271 × 2511
Prime Factorization of 95638
Prime factors of 95638 are 2, 47819. Prime factorization of 95638 in exponential form is:
95638 = 21 × 478191
Now multiplying the highest exponent prime factors to calculate the LCM of 95631 and 95638.
LCM(95631,95638) = 31 × 1271 × 2511 × 21 × 478191
LCM(95631,95638) = 9145957578
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