What is the Least Common Multiple of 32118 and 32123?
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 32118 and 32123 is 1031726514.
LCM(32118,32123) = 1031726514
Least Common Multiple of 32118 and 32123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32118 and 32123, than apply into the LCM equation.
GCF(32118,32123) = 1
LCM(32118,32123) = ( 32118 × 32123) / 1
LCM(32118,32123) = 1031726514 / 1
LCM(32118,32123) = 1031726514
Least Common Multiple (LCM) of 32118 and 32123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32118 and 32123. First we will calculate the prime factors of 32118 and 32123.
Prime Factorization of 32118
Prime factors of 32118 are 2, 3, 53, 101. Prime factorization of 32118 in exponential form is:
32118 = 21 × 31 × 531 × 1011
Prime Factorization of 32123
Prime factors of 32123 are 7, 13, 353. Prime factorization of 32123 in exponential form is:
32123 = 71 × 131 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 32118 and 32123.
LCM(32118,32123) = 21 × 31 × 531 × 1011 × 71 × 131 × 3531
LCM(32118,32123) = 1031726514
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