What is the Least Common Multiple of 55732 and 55750?
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 55732 and 55750 is 1553529500.
LCM(55732,55750) = 1553529500
Least Common Multiple of 55732 and 55750 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55732 and 55750, than apply into the LCM equation.
GCF(55732,55750) = 2
LCM(55732,55750) = ( 55732 × 55750) / 2
LCM(55732,55750) = 3107059000 / 2
LCM(55732,55750) = 1553529500
Least Common Multiple (LCM) of 55732 and 55750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55732 and 55750. First we will calculate the prime factors of 55732 and 55750.
Prime Factorization of 55732
Prime factors of 55732 are 2, 13933. Prime factorization of 55732 in exponential form is:
55732 = 22 × 139331
Prime Factorization of 55750
Prime factors of 55750 are 2, 5, 223. Prime factorization of 55750 in exponential form is:
55750 = 21 × 53 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 55732 and 55750.
LCM(55732,55750) = 22 × 139331 × 53 × 2231
LCM(55732,55750) = 1553529500
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