What is the Least Common Multiple of 88031 and 88045?
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 88031 and 88045 is 7750689395.
LCM(88031,88045) = 7750689395
Least Common Multiple of 88031 and 88045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88031 and 88045, than apply into the LCM equation.
GCF(88031,88045) = 1
LCM(88031,88045) = ( 88031 × 88045) / 1
LCM(88031,88045) = 7750689395 / 1
LCM(88031,88045) = 7750689395
Least Common Multiple (LCM) of 88031 and 88045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88031 and 88045. First we will calculate the prime factors of 88031 and 88045.
Prime Factorization of 88031
Prime factors of 88031 are 47, 1873. Prime factorization of 88031 in exponential form is:
88031 = 471 × 18731
Prime Factorization of 88045
Prime factors of 88045 are 5, 17609. Prime factorization of 88045 in exponential form is:
88045 = 51 × 176091
Now multiplying the highest exponent prime factors to calculate the LCM of 88031 and 88045.
LCM(88031,88045) = 471 × 18731 × 51 × 176091
LCM(88031,88045) = 7750689395
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