What is the Least Common Multiple of 13962 and 13967?
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 13962 and 13967 is 195007254.
LCM(13962,13967) = 195007254
Least Common Multiple of 13962 and 13967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13962 and 13967, than apply into the LCM equation.
GCF(13962,13967) = 1
LCM(13962,13967) = ( 13962 × 13967) / 1
LCM(13962,13967) = 195007254 / 1
LCM(13962,13967) = 195007254
Least Common Multiple (LCM) of 13962 and 13967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13962 and 13967. First we will calculate the prime factors of 13962 and 13967.
Prime Factorization of 13962
Prime factors of 13962 are 2, 3, 13, 179. Prime factorization of 13962 in exponential form is:
13962 = 21 × 31 × 131 × 1791
Prime Factorization of 13967
Prime factors of 13967 are 13967. Prime factorization of 13967 in exponential form is:
13967 = 139671
Now multiplying the highest exponent prime factors to calculate the LCM of 13962 and 13967.
LCM(13962,13967) = 21 × 31 × 131 × 1791 × 139671
LCM(13962,13967) = 195007254
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