What is the Least Common Multiple of 68711 and 68730?
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 68711 and 68730 is 4722507030.
LCM(68711,68730) = 4722507030
Least Common Multiple of 68711 and 68730 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68711 and 68730, than apply into the LCM equation.
GCF(68711,68730) = 1
LCM(68711,68730) = ( 68711 × 68730) / 1
LCM(68711,68730) = 4722507030 / 1
LCM(68711,68730) = 4722507030
Least Common Multiple (LCM) of 68711 and 68730 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68711 and 68730. First we will calculate the prime factors of 68711 and 68730.
Prime Factorization of 68711
Prime factors of 68711 are 68711. Prime factorization of 68711 in exponential form is:
68711 = 687111
Prime Factorization of 68730
Prime factors of 68730 are 2, 3, 5, 29, 79. Prime factorization of 68730 in exponential form is:
68730 = 21 × 31 × 51 × 291 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 68711 and 68730.
LCM(68711,68730) = 687111 × 21 × 31 × 51 × 291 × 791
LCM(68711,68730) = 4722507030
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