What is the Least Common Multiple of 4672 and 4682?
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 4672 and 4682 is 10937152.
LCM(4672,4682) = 10937152
Least Common Multiple of 4672 and 4682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4672 and 4682, than apply into the LCM equation.
GCF(4672,4682) = 2
LCM(4672,4682) = ( 4672 × 4682) / 2
LCM(4672,4682) = 21874304 / 2
LCM(4672,4682) = 10937152
Least Common Multiple (LCM) of 4672 and 4682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4672 and 4682. First we will calculate the prime factors of 4672 and 4682.
Prime Factorization of 4672
Prime factors of 4672 are 2, 73. Prime factorization of 4672 in exponential form is:
4672 = 26 × 731
Prime Factorization of 4682
Prime factors of 4682 are 2, 2341. Prime factorization of 4682 in exponential form is:
4682 = 21 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 4672 and 4682.
LCM(4672,4682) = 26 × 731 × 23411
LCM(4672,4682) = 10937152
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