What is the Least Common Multiple of 5437 and 5455?
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 5437 and 5455 is 29658835.
LCM(5437,5455) = 29658835
Least Common Multiple of 5437 and 5455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5437 and 5455, than apply into the LCM equation.
GCF(5437,5455) = 1
LCM(5437,5455) = ( 5437 × 5455) / 1
LCM(5437,5455) = 29658835 / 1
LCM(5437,5455) = 29658835
Least Common Multiple (LCM) of 5437 and 5455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5437 and 5455. First we will calculate the prime factors of 5437 and 5455.
Prime Factorization of 5437
Prime factors of 5437 are 5437. Prime factorization of 5437 in exponential form is:
5437 = 54371
Prime Factorization of 5455
Prime factors of 5455 are 5, 1091. Prime factorization of 5455 in exponential form is:
5455 = 51 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 5437 and 5455.
LCM(5437,5455) = 54371 × 51 × 10911
LCM(5437,5455) = 29658835
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