What is the Least Common Multiple of 45881 and 45900?
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 45881 and 45900 is 2105937900.
LCM(45881,45900) = 2105937900
Least Common Multiple of 45881 and 45900 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45881 and 45900, than apply into the LCM equation.
GCF(45881,45900) = 1
LCM(45881,45900) = ( 45881 × 45900) / 1
LCM(45881,45900) = 2105937900 / 1
LCM(45881,45900) = 2105937900
Least Common Multiple (LCM) of 45881 and 45900 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45881 and 45900. First we will calculate the prime factors of 45881 and 45900.
Prime Factorization of 45881
Prime factors of 45881 are 11, 43, 97. Prime factorization of 45881 in exponential form is:
45881 = 111 × 431 × 971
Prime Factorization of 45900
Prime factors of 45900 are 2, 3, 5, 17. Prime factorization of 45900 in exponential form is:
45900 = 22 × 33 × 52 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 45881 and 45900.
LCM(45881,45900) = 111 × 431 × 971 × 22 × 33 × 52 × 171
LCM(45881,45900) = 2105937900
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