What is the Least Common Multiple of 4693 and 4713?
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 4693 and 4713 is 22118109.
LCM(4693,4713) = 22118109
Least Common Multiple of 4693 and 4713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4693 and 4713, than apply into the LCM equation.
GCF(4693,4713) = 1
LCM(4693,4713) = ( 4693 × 4713) / 1
LCM(4693,4713) = 22118109 / 1
LCM(4693,4713) = 22118109
Least Common Multiple (LCM) of 4693 and 4713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4693 and 4713. First we will calculate the prime factors of 4693 and 4713.
Prime Factorization of 4693
Prime factors of 4693 are 13, 19. Prime factorization of 4693 in exponential form is:
4693 = 131 × 192
Prime Factorization of 4713
Prime factors of 4713 are 3, 1571. Prime factorization of 4713 in exponential form is:
4713 = 31 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 4693 and 4713.
LCM(4693,4713) = 131 × 192 × 31 × 15711
LCM(4693,4713) = 22118109
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