What is the Least Common Multiple of 15442 and 15455?
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 15442 and 15455 is 238656110.
LCM(15442,15455) = 238656110
Least Common Multiple of 15442 and 15455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15442 and 15455, than apply into the LCM equation.
GCF(15442,15455) = 1
LCM(15442,15455) = ( 15442 × 15455) / 1
LCM(15442,15455) = 238656110 / 1
LCM(15442,15455) = 238656110
Least Common Multiple (LCM) of 15442 and 15455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15442 and 15455. First we will calculate the prime factors of 15442 and 15455.
Prime Factorization of 15442
Prime factors of 15442 are 2, 7, 1103. Prime factorization of 15442 in exponential form is:
15442 = 21 × 71 × 11031
Prime Factorization of 15455
Prime factors of 15455 are 5, 11, 281. Prime factorization of 15455 in exponential form is:
15455 = 51 × 111 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 15442 and 15455.
LCM(15442,15455) = 21 × 71 × 11031 × 51 × 111 × 2811
LCM(15442,15455) = 238656110
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