What is the Least Common Multiple of 4681 and 4693?
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 4681 and 4693 is 21967933.
LCM(4681,4693) = 21967933
Least Common Multiple of 4681 and 4693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4681 and 4693, than apply into the LCM equation.
GCF(4681,4693) = 1
LCM(4681,4693) = ( 4681 × 4693) / 1
LCM(4681,4693) = 21967933 / 1
LCM(4681,4693) = 21967933
Least Common Multiple (LCM) of 4681 and 4693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4681 and 4693. First we will calculate the prime factors of 4681 and 4693.
Prime Factorization of 4681
Prime factors of 4681 are 31, 151. Prime factorization of 4681 in exponential form is:
4681 = 311 × 1511
Prime Factorization of 4693
Prime factors of 4693 are 13, 19. Prime factorization of 4693 in exponential form is:
4693 = 131 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 4681 and 4693.
LCM(4681,4693) = 311 × 1511 × 131 × 192
LCM(4681,4693) = 21967933
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