What is the Least Common Multiple of 54965 and 54976?
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 54965 and 54976 is 3021755840.
LCM(54965,54976) = 3021755840
Least Common Multiple of 54965 and 54976 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54965 and 54976, than apply into the LCM equation.
GCF(54965,54976) = 1
LCM(54965,54976) = ( 54965 × 54976) / 1
LCM(54965,54976) = 3021755840 / 1
LCM(54965,54976) = 3021755840
Least Common Multiple (LCM) of 54965 and 54976 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54965 and 54976. First we will calculate the prime factors of 54965 and 54976.
Prime Factorization of 54965
Prime factors of 54965 are 5, 10993. Prime factorization of 54965 in exponential form is:
54965 = 51 × 109931
Prime Factorization of 54976
Prime factors of 54976 are 2, 859. Prime factorization of 54976 in exponential form is:
54976 = 26 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 54965 and 54976.
LCM(54965,54976) = 51 × 109931 × 26 × 8591
LCM(54965,54976) = 3021755840
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