What is the Least Common Multiple of 93038 and 93055?
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 93038 and 93055 is 8657651090.
LCM(93038,93055) = 8657651090
Least Common Multiple of 93038 and 93055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93038 and 93055, than apply into the LCM equation.
GCF(93038,93055) = 1
LCM(93038,93055) = ( 93038 × 93055) / 1
LCM(93038,93055) = 8657651090 / 1
LCM(93038,93055) = 8657651090
Least Common Multiple (LCM) of 93038 and 93055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93038 and 93055. First we will calculate the prime factors of 93038 and 93055.
Prime Factorization of 93038
Prime factors of 93038 are 2, 11, 4229. Prime factorization of 93038 in exponential form is:
93038 = 21 × 111 × 42291
Prime Factorization of 93055
Prime factors of 93055 are 5, 37, 503. Prime factorization of 93055 in exponential form is:
93055 = 51 × 371 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 93038 and 93055.
LCM(93038,93055) = 21 × 111 × 42291 × 51 × 371 × 5031
LCM(93038,93055) = 8657651090
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