What is the Least Common Multiple of 4662 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 4662 and 4667 is 21757554.
LCM(4662,4667) = 21757554
Least Common Multiple of 4662 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 4662 and 4667, than apply into the LCM equation.
GCF(4662,4667) = 1
LCM(4662,4667) = ( 4662 × 4667) / 1
LCM(4662,4667) = 21757554 / 1
LCM(4662,4667) = 21757554
Least Common Multiple (LCM) of 4662 and 4667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4662 and 4667. First we will calculate the prime factors of 4662 and 4667.
Prime Factorization of 4662
Prime factors of 4662 are 2, 3, 7, 37. Prime factorization of 4662 in exponential form is:
4662 = 21 × 32 × 71 × 371
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 4662 and 4667.
LCM(4662,4667) = 21 × 32 × 71 × 371 × 131 × 3591
LCM(4662,4667) = 21757554
Related Least Common Multiples of 4662
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Related Least Common Multiples of 4667
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