What is the Least Common Multiple of 93636 and 93652?
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 93636 and 93652 is 2192299668.
LCM(93636,93652) = 2192299668
Least Common Multiple of 93636 and 93652 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93636 and 93652, than apply into the LCM equation.
GCF(93636,93652) = 4
LCM(93636,93652) = ( 93636 × 93652) / 4
LCM(93636,93652) = 8769198672 / 4
LCM(93636,93652) = 2192299668
Least Common Multiple (LCM) of 93636 and 93652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93636 and 93652. First we will calculate the prime factors of 93636 and 93652.
Prime Factorization of 93636
Prime factors of 93636 are 2, 3, 17. Prime factorization of 93636 in exponential form is:
93636 = 22 × 34 × 172
Prime Factorization of 93652
Prime factors of 93652 are 2, 13, 1801. Prime factorization of 93652 in exponential form is:
93652 = 22 × 131 × 18011
Now multiplying the highest exponent prime factors to calculate the LCM of 93636 and 93652.
LCM(93636,93652) = 22 × 34 × 172 × 131 × 18011
LCM(93636,93652) = 2192299668
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