What is the Least Common Multiple of 14956 and 14960?
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 14956 and 14960 is 55935440.
LCM(14956,14960) = 55935440
Least Common Multiple of 14956 and 14960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14956 and 14960, than apply into the LCM equation.
GCF(14956,14960) = 4
LCM(14956,14960) = ( 14956 × 14960) / 4
LCM(14956,14960) = 223741760 / 4
LCM(14956,14960) = 55935440
Least Common Multiple (LCM) of 14956 and 14960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14956 and 14960. First we will calculate the prime factors of 14956 and 14960.
Prime Factorization of 14956
Prime factors of 14956 are 2, 3739. Prime factorization of 14956 in exponential form is:
14956 = 22 × 37391
Prime Factorization of 14960
Prime factors of 14960 are 2, 5, 11, 17. Prime factorization of 14960 in exponential form is:
14960 = 24 × 51 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 14956 and 14960.
LCM(14956,14960) = 24 × 37391 × 51 × 111 × 171
LCM(14956,14960) = 55935440
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