What is the Least Common Multiple of 68651 and 68656?
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 68651 and 68656 is 4713303056.
LCM(68651,68656) = 4713303056
Least Common Multiple of 68651 and 68656 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68651 and 68656, than apply into the LCM equation.
GCF(68651,68656) = 1
LCM(68651,68656) = ( 68651 × 68656) / 1
LCM(68651,68656) = 4713303056 / 1
LCM(68651,68656) = 4713303056
Least Common Multiple (LCM) of 68651 and 68656 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68651 and 68656. First we will calculate the prime factors of 68651 and 68656.
Prime Factorization of 68651
Prime factors of 68651 are 11, 79. Prime factorization of 68651 in exponential form is:
68651 = 111 × 792
Prime Factorization of 68656
Prime factors of 68656 are 2, 7, 613. Prime factorization of 68656 in exponential form is:
68656 = 24 × 71 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 68651 and 68656.
LCM(68651,68656) = 111 × 792 × 24 × 71 × 6131
LCM(68651,68656) = 4713303056
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