What is the Least Common Multiple of 9437 and 9455?
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 9437 and 9455 is 89226835.
LCM(9437,9455) = 89226835
Least Common Multiple of 9437 and 9455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9437 and 9455, than apply into the LCM equation.
GCF(9437,9455) = 1
LCM(9437,9455) = ( 9437 × 9455) / 1
LCM(9437,9455) = 89226835 / 1
LCM(9437,9455) = 89226835
Least Common Multiple (LCM) of 9437 and 9455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9437 and 9455. First we will calculate the prime factors of 9437 and 9455.
Prime Factorization of 9437
Prime factors of 9437 are 9437. Prime factorization of 9437 in exponential form is:
9437 = 94371
Prime Factorization of 9455
Prime factors of 9455 are 5, 31, 61. Prime factorization of 9455 in exponential form is:
9455 = 51 × 311 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 9437 and 9455.
LCM(9437,9455) = 94371 × 51 × 311 × 611
LCM(9437,9455) = 89226835
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