What is the Least Common Multiple of 68035 and 68055?
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 68035 and 68055 is 926024385.
LCM(68035,68055) = 926024385
Least Common Multiple of 68035 and 68055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68035 and 68055, than apply into the LCM equation.
GCF(68035,68055) = 5
LCM(68035,68055) = ( 68035 × 68055) / 5
LCM(68035,68055) = 4630121925 / 5
LCM(68035,68055) = 926024385
Least Common Multiple (LCM) of 68035 and 68055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68035 and 68055. First we will calculate the prime factors of 68035 and 68055.
Prime Factorization of 68035
Prime factors of 68035 are 5, 11, 1237. Prime factorization of 68035 in exponential form is:
68035 = 51 × 111 × 12371
Prime Factorization of 68055
Prime factors of 68055 are 3, 5, 13, 349. Prime factorization of 68055 in exponential form is:
68055 = 31 × 51 × 131 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 68035 and 68055.
LCM(68035,68055) = 51 × 111 × 12371 × 31 × 131 × 3491
LCM(68035,68055) = 926024385
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