What is the Least Common Multiple of 55720 and 55734?
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 55720 and 55734 is 221821320.
LCM(55720,55734) = 221821320
Least Common Multiple of 55720 and 55734 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55720 and 55734, than apply into the LCM equation.
GCF(55720,55734) = 14
LCM(55720,55734) = ( 55720 × 55734) / 14
LCM(55720,55734) = 3105498480 / 14
LCM(55720,55734) = 221821320
Least Common Multiple (LCM) of 55720 and 55734 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55720 and 55734. First we will calculate the prime factors of 55720 and 55734.
Prime Factorization of 55720
Prime factors of 55720 are 2, 5, 7, 199. Prime factorization of 55720 in exponential form is:
55720 = 23 × 51 × 71 × 1991
Prime Factorization of 55734
Prime factors of 55734 are 2, 3, 7, 1327. Prime factorization of 55734 in exponential form is:
55734 = 21 × 31 × 71 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 55720 and 55734.
LCM(55720,55734) = 23 × 51 × 71 × 1991 × 31 × 13271
LCM(55720,55734) = 221821320
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