What is the Least Common Multiple of 32798 and 32818?
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 32798 and 32818 is 538182382.
LCM(32798,32818) = 538182382
Least Common Multiple of 32798 and 32818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32798 and 32818, than apply into the LCM equation.
GCF(32798,32818) = 2
LCM(32798,32818) = ( 32798 × 32818) / 2
LCM(32798,32818) = 1076364764 / 2
LCM(32798,32818) = 538182382
Least Common Multiple (LCM) of 32798 and 32818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32798 and 32818. First we will calculate the prime factors of 32798 and 32818.
Prime Factorization of 32798
Prime factors of 32798 are 2, 23, 31. Prime factorization of 32798 in exponential form is:
32798 = 21 × 232 × 311
Prime Factorization of 32818
Prime factors of 32818 are 2, 61, 269. Prime factorization of 32818 in exponential form is:
32818 = 21 × 611 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 32798 and 32818.
LCM(32798,32818) = 21 × 232 × 311 × 611 × 2691
LCM(32798,32818) = 538182382
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