What is the Least Common Multiple of 41932 and 41949?
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 41932 and 41949 is 1759005468.
LCM(41932,41949) = 1759005468
Least Common Multiple of 41932 and 41949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41932 and 41949, than apply into the LCM equation.
GCF(41932,41949) = 1
LCM(41932,41949) = ( 41932 × 41949) / 1
LCM(41932,41949) = 1759005468 / 1
LCM(41932,41949) = 1759005468
Least Common Multiple (LCM) of 41932 and 41949 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41932 and 41949. First we will calculate the prime factors of 41932 and 41949.
Prime Factorization of 41932
Prime factors of 41932 are 2, 11, 953. Prime factorization of 41932 in exponential form is:
41932 = 22 × 111 × 9531
Prime Factorization of 41949
Prime factors of 41949 are 3, 59, 79. Prime factorization of 41949 in exponential form is:
41949 = 32 × 591 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 41932 and 41949.
LCM(41932,41949) = 22 × 111 × 9531 × 32 × 591 × 791
LCM(41932,41949) = 1759005468
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