What is the Least Common Multiple of 44836 and 44847?
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 44836 and 44847 is 182796372.
LCM(44836,44847) = 182796372
Least Common Multiple of 44836 and 44847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44836 and 44847, than apply into the LCM equation.
GCF(44836,44847) = 11
LCM(44836,44847) = ( 44836 × 44847) / 11
LCM(44836,44847) = 2010760092 / 11
LCM(44836,44847) = 182796372
Least Common Multiple (LCM) of 44836 and 44847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44836 and 44847. First we will calculate the prime factors of 44836 and 44847.
Prime Factorization of 44836
Prime factors of 44836 are 2, 11, 1019. Prime factorization of 44836 in exponential form is:
44836 = 22 × 111 × 10191
Prime Factorization of 44847
Prime factors of 44847 are 3, 11, 151. Prime factorization of 44847 in exponential form is:
44847 = 33 × 111 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 44836 and 44847.
LCM(44836,44847) = 22 × 111 × 10191 × 33 × 1511
LCM(44836,44847) = 182796372
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