What is the Least Common Multiple of 68894 and 68907?
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 68894 and 68907 is 4747278858.
LCM(68894,68907) = 4747278858
Least Common Multiple of 68894 and 68907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68894 and 68907, than apply into the LCM equation.
GCF(68894,68907) = 1
LCM(68894,68907) = ( 68894 × 68907) / 1
LCM(68894,68907) = 4747278858 / 1
LCM(68894,68907) = 4747278858
Least Common Multiple (LCM) of 68894 and 68907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68894 and 68907. First we will calculate the prime factors of 68894 and 68907.
Prime Factorization of 68894
Prime factors of 68894 are 2, 7, 19, 37. Prime factorization of 68894 in exponential form is:
68894 = 21 × 72 × 191 × 371
Prime Factorization of 68907
Prime factors of 68907 are 3, 103, 223. Prime factorization of 68907 in exponential form is:
68907 = 31 × 1031 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 68894 and 68907.
LCM(68894,68907) = 21 × 72 × 191 × 371 × 31 × 1031 × 2231
LCM(68894,68907) = 4747278858
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