What is the Least Common Multiple of 44572 and 44591?
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 44572 and 44591 is 1987510052.
LCM(44572,44591) = 1987510052
Least Common Multiple of 44572 and 44591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44572 and 44591, than apply into the LCM equation.
GCF(44572,44591) = 1
LCM(44572,44591) = ( 44572 × 44591) / 1
LCM(44572,44591) = 1987510052 / 1
LCM(44572,44591) = 1987510052
Least Common Multiple (LCM) of 44572 and 44591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44572 and 44591. First we will calculate the prime factors of 44572 and 44591.
Prime Factorization of 44572
Prime factors of 44572 are 2, 11, 1013. Prime factorization of 44572 in exponential form is:
44572 = 22 × 111 × 10131
Prime Factorization of 44591
Prime factors of 44591 are 17, 43, 61. Prime factorization of 44591 in exponential form is:
44591 = 171 × 431 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 44572 and 44591.
LCM(44572,44591) = 22 × 111 × 10131 × 171 × 431 × 611
LCM(44572,44591) = 1987510052
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