What is the Least Common Multiple of 41437 and 41455?
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 41437 and 41455 is 1717770835.
LCM(41437,41455) = 1717770835
Least Common Multiple of 41437 and 41455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41437 and 41455, than apply into the LCM equation.
GCF(41437,41455) = 1
LCM(41437,41455) = ( 41437 × 41455) / 1
LCM(41437,41455) = 1717770835 / 1
LCM(41437,41455) = 1717770835
Least Common Multiple (LCM) of 41437 and 41455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41437 and 41455. First we will calculate the prime factors of 41437 and 41455.
Prime Factorization of 41437
Prime factors of 41437 are 11, 3767. Prime factorization of 41437 in exponential form is:
41437 = 111 × 37671
Prime Factorization of 41455
Prime factors of 41455 are 5, 8291. Prime factorization of 41455 in exponential form is:
41455 = 51 × 82911
Now multiplying the highest exponent prime factors to calculate the LCM of 41437 and 41455.
LCM(41437,41455) = 111 × 37671 × 51 × 82911
LCM(41437,41455) = 1717770835
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