What is the Least Common Multiple of 1355 and 1362?
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 1355 and 1362 is 1845510.
LCM(1355,1362) = 1845510
Least Common Multiple of 1355 and 1362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1355 and 1362, than apply into the LCM equation.
GCF(1355,1362) = 1
LCM(1355,1362) = ( 1355 × 1362) / 1
LCM(1355,1362) = 1845510 / 1
LCM(1355,1362) = 1845510
Least Common Multiple (LCM) of 1355 and 1362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1355 and 1362. First we will calculate the prime factors of 1355 and 1362.
Prime Factorization of 1355
Prime factors of 1355 are 5, 271. Prime factorization of 1355 in exponential form is:
1355 = 51 × 2711
Prime Factorization of 1362
Prime factors of 1362 are 2, 3, 227. Prime factorization of 1362 in exponential form is:
1362 = 21 × 31 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 1355 and 1362.
LCM(1355,1362) = 51 × 2711 × 21 × 31 × 2271
LCM(1355,1362) = 1845510
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