What is the Least Common Multiple of 29674 and 29679?
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 29674 and 29679 is 880694646.
LCM(29674,29679) = 880694646
Least Common Multiple of 29674 and 29679 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29674 and 29679, than apply into the LCM equation.
GCF(29674,29679) = 1
LCM(29674,29679) = ( 29674 × 29679) / 1
LCM(29674,29679) = 880694646 / 1
LCM(29674,29679) = 880694646
Least Common Multiple (LCM) of 29674 and 29679 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29674 and 29679. First we will calculate the prime factors of 29674 and 29679.
Prime Factorization of 29674
Prime factors of 29674 are 2, 37, 401. Prime factorization of 29674 in exponential form is:
29674 = 21 × 371 × 4011
Prime Factorization of 29679
Prime factors of 29679 are 3, 13, 761. Prime factorization of 29679 in exponential form is:
29679 = 31 × 131 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 29674 and 29679.
LCM(29674,29679) = 21 × 371 × 4011 × 31 × 131 × 7611
LCM(29674,29679) = 880694646
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