What is the Least Common Multiple of 4462 and 4472?
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 4462 and 4472 is 9977032.
LCM(4462,4472) = 9977032
Least Common Multiple of 4462 and 4472 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4462 and 4472, than apply into the LCM equation.
GCF(4462,4472) = 2
LCM(4462,4472) = ( 4462 × 4472) / 2
LCM(4462,4472) = 19954064 / 2
LCM(4462,4472) = 9977032
Least Common Multiple (LCM) of 4462 and 4472 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4462 and 4472. First we will calculate the prime factors of 4462 and 4472.
Prime Factorization of 4462
Prime factors of 4462 are 2, 23, 97. Prime factorization of 4462 in exponential form is:
4462 = 21 × 231 × 971
Prime Factorization of 4472
Prime factors of 4472 are 2, 13, 43. Prime factorization of 4472 in exponential form is:
4472 = 23 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 4462 and 4472.
LCM(4462,4472) = 23 × 231 × 971 × 131 × 431
LCM(4462,4472) = 9977032
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