What is the Least Common Multiple of 44946 and 44951?
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 44946 and 44951 is 2020367646.
LCM(44946,44951) = 2020367646
Least Common Multiple of 44946 and 44951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44946 and 44951, than apply into the LCM equation.
GCF(44946,44951) = 1
LCM(44946,44951) = ( 44946 × 44951) / 1
LCM(44946,44951) = 2020367646 / 1
LCM(44946,44951) = 2020367646
Least Common Multiple (LCM) of 44946 and 44951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44946 and 44951. First we will calculate the prime factors of 44946 and 44951.
Prime Factorization of 44946
Prime factors of 44946 are 2, 3, 11, 227. Prime factorization of 44946 in exponential form is:
44946 = 21 × 32 × 111 × 2271
Prime Factorization of 44951
Prime factors of 44951 are 79, 569. Prime factorization of 44951 in exponential form is:
44951 = 791 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 44946 and 44951.
LCM(44946,44951) = 21 × 32 × 111 × 2271 × 791 × 5691
LCM(44946,44951) = 2020367646
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