What is the Least Common Multiple of 13612 and 13632?
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 13612 and 13632 is 46389696.
LCM(13612,13632) = 46389696
Least Common Multiple of 13612 and 13632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13612 and 13632, than apply into the LCM equation.
GCF(13612,13632) = 4
LCM(13612,13632) = ( 13612 × 13632) / 4
LCM(13612,13632) = 185558784 / 4
LCM(13612,13632) = 46389696
Least Common Multiple (LCM) of 13612 and 13632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13612 and 13632. First we will calculate the prime factors of 13612 and 13632.
Prime Factorization of 13612
Prime factors of 13612 are 2, 41, 83. Prime factorization of 13612 in exponential form is:
13612 = 22 × 411 × 831
Prime Factorization of 13632
Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:
13632 = 26 × 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 13612 and 13632.
LCM(13612,13632) = 26 × 411 × 831 × 31 × 711
LCM(13612,13632) = 46389696
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