What is the Least Common Multiple of 55721 and 55741?
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 55721 and 55741 is 3105944261.
LCM(55721,55741) = 3105944261
Least Common Multiple of 55721 and 55741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55721 and 55741, than apply into the LCM equation.
GCF(55721,55741) = 1
LCM(55721,55741) = ( 55721 × 55741) / 1
LCM(55721,55741) = 3105944261 / 1
LCM(55721,55741) = 3105944261
Least Common Multiple (LCM) of 55721 and 55741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55721 and 55741. First we will calculate the prime factors of 55721 and 55741.
Prime Factorization of 55721
Prime factors of 55721 are 55721. Prime factorization of 55721 in exponential form is:
55721 = 557211
Prime Factorization of 55741
Prime factors of 55741 are 7, 7963. Prime factorization of 55741 in exponential form is:
55741 = 71 × 79631
Now multiplying the highest exponent prime factors to calculate the LCM of 55721 and 55741.
LCM(55721,55741) = 557211 × 71 × 79631
LCM(55721,55741) = 3105944261
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