What is the Least Common Multiple of 16962 and 16976?
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 16962 and 16976 is 143973456.
LCM(16962,16976) = 143973456
Least Common Multiple of 16962 and 16976 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16962 and 16976, than apply into the LCM equation.
GCF(16962,16976) = 2
LCM(16962,16976) = ( 16962 × 16976) / 2
LCM(16962,16976) = 287946912 / 2
LCM(16962,16976) = 143973456
Least Common Multiple (LCM) of 16962 and 16976 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16962 and 16976. First we will calculate the prime factors of 16962 and 16976.
Prime Factorization of 16962
Prime factors of 16962 are 2, 3, 11, 257. Prime factorization of 16962 in exponential form is:
16962 = 21 × 31 × 111 × 2571
Prime Factorization of 16976
Prime factors of 16976 are 2, 1061. Prime factorization of 16976 in exponential form is:
16976 = 24 × 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 16962 and 16976.
LCM(16962,16976) = 24 × 31 × 111 × 2571 × 10611
LCM(16962,16976) = 143973456
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