What is the Least Common Multiple of 4657 and 4667?
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 4657 and 4667 is 21734219.
LCM(4657,4667) = 21734219
Least Common Multiple of 4657 and 4667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4657 and 4667, than apply into the LCM equation.
GCF(4657,4667) = 1
LCM(4657,4667) = ( 4657 × 4667) / 1
LCM(4657,4667) = 21734219 / 1
LCM(4657,4667) = 21734219
Least Common Multiple (LCM) of 4657 and 4667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4657 and 4667. First we will calculate the prime factors of 4657 and 4667.
Prime Factorization of 4657
Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:
4657 = 46571
Prime Factorization of 4667
Prime factors of 4667 are 13, 359. Prime factorization of 4667 in exponential form is:
4667 = 131 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 4657 and 4667.
LCM(4657,4667) = 46571 × 131 × 3591
LCM(4657,4667) = 21734219
Related Least Common Multiples of 4657
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Related Least Common Multiples of 4667
- LCM of 4667 and 4671
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