What is the Least Common Multiple of 68172 and 68192?
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 68172 and 68192 is 1162196256.
LCM(68172,68192) = 1162196256
Least Common Multiple of 68172 and 68192 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68172 and 68192, than apply into the LCM equation.
GCF(68172,68192) = 4
LCM(68172,68192) = ( 68172 × 68192) / 4
LCM(68172,68192) = 4648785024 / 4
LCM(68172,68192) = 1162196256
Least Common Multiple (LCM) of 68172 and 68192 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68172 and 68192. First we will calculate the prime factors of 68172 and 68192.
Prime Factorization of 68172
Prime factors of 68172 are 2, 3, 13, 19, 23. Prime factorization of 68172 in exponential form is:
68172 = 22 × 31 × 131 × 191 × 231
Prime Factorization of 68192
Prime factors of 68192 are 2, 2131. Prime factorization of 68192 in exponential form is:
68192 = 25 × 21311
Now multiplying the highest exponent prime factors to calculate the LCM of 68172 and 68192.
LCM(68172,68192) = 25 × 31 × 131 × 191 × 231 × 21311
LCM(68172,68192) = 1162196256
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