What is the Least Common Multiple of 352 and 362?
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 352 and 362 is 63712.
LCM(352,362) = 63712
Least Common Multiple of 352 and 362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 352 and 362, than apply into the LCM equation.
GCF(352,362) = 2
LCM(352,362) = ( 352 × 362) / 2
LCM(352,362) = 127424 / 2
LCM(352,362) = 63712
Least Common Multiple (LCM) of 352 and 362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 352 and 362. First we will calculate the prime factors of 352 and 362.
Prime Factorization of 352
Prime factors of 352 are 2, 11. Prime factorization of 352 in exponential form is:
352 = 25 × 111
Prime Factorization of 362
Prime factors of 362 are 2, 181. Prime factorization of 362 in exponential form is:
362 = 21 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 352 and 362.
LCM(352,362) = 25 × 111 × 1811
LCM(352,362) = 63712
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