What is the Least Common Multiple of 44915 and 44932?
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 44915 and 44932 is 2018120780.
LCM(44915,44932) = 2018120780
Least Common Multiple of 44915 and 44932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44915 and 44932, than apply into the LCM equation.
GCF(44915,44932) = 1
LCM(44915,44932) = ( 44915 × 44932) / 1
LCM(44915,44932) = 2018120780 / 1
LCM(44915,44932) = 2018120780
Least Common Multiple (LCM) of 44915 and 44932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44915 and 44932. First we will calculate the prime factors of 44915 and 44932.
Prime Factorization of 44915
Prime factors of 44915 are 5, 13, 691. Prime factorization of 44915 in exponential form is:
44915 = 51 × 131 × 6911
Prime Factorization of 44932
Prime factors of 44932 are 2, 47, 239. Prime factorization of 44932 in exponential form is:
44932 = 22 × 471 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 44915 and 44932.
LCM(44915,44932) = 51 × 131 × 6911 × 22 × 471 × 2391
LCM(44915,44932) = 2018120780
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