What is the Least Common Multiple of 68033 and 68037?
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 68033 and 68037 is 4628761221.
LCM(68033,68037) = 4628761221
Least Common Multiple of 68033 and 68037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68033 and 68037, than apply into the LCM equation.
GCF(68033,68037) = 1
LCM(68033,68037) = ( 68033 × 68037) / 1
LCM(68033,68037) = 4628761221 / 1
LCM(68033,68037) = 4628761221
Least Common Multiple (LCM) of 68033 and 68037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68033 and 68037. First we will calculate the prime factors of 68033 and 68037.
Prime Factorization of 68033
Prime factors of 68033 are 7, 9719. Prime factorization of 68033 in exponential form is:
68033 = 71 × 97191
Prime Factorization of 68037
Prime factors of 68037 are 3, 22679. Prime factorization of 68037 in exponential form is:
68037 = 31 × 226791
Now multiplying the highest exponent prime factors to calculate the LCM of 68033 and 68037.
LCM(68033,68037) = 71 × 97191 × 31 × 226791
LCM(68033,68037) = 4628761221
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