What is the Least Common Multiple of 67276 and 67291?
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 67276 and 67291 is 4527069316.
LCM(67276,67291) = 4527069316
Least Common Multiple of 67276 and 67291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67276 and 67291, than apply into the LCM equation.
GCF(67276,67291) = 1
LCM(67276,67291) = ( 67276 × 67291) / 1
LCM(67276,67291) = 4527069316 / 1
LCM(67276,67291) = 4527069316
Least Common Multiple (LCM) of 67276 and 67291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67276 and 67291. First we will calculate the prime factors of 67276 and 67291.
Prime Factorization of 67276
Prime factors of 67276 are 2, 11, 139. Prime factorization of 67276 in exponential form is:
67276 = 22 × 112 × 1391
Prime Factorization of 67291
Prime factors of 67291 are 7, 9613. Prime factorization of 67291 in exponential form is:
67291 = 71 × 96131
Now multiplying the highest exponent prime factors to calculate the LCM of 67276 and 67291.
LCM(67276,67291) = 22 × 112 × 1391 × 71 × 96131
LCM(67276,67291) = 4527069316
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