What is the Least Common Multiple of 3065 and 3069?
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 3065 and 3069 is 9406485.
LCM(3065,3069) = 9406485
Least Common Multiple of 3065 and 3069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3065 and 3069, than apply into the LCM equation.
GCF(3065,3069) = 1
LCM(3065,3069) = ( 3065 × 3069) / 1
LCM(3065,3069) = 9406485 / 1
LCM(3065,3069) = 9406485
Least Common Multiple (LCM) of 3065 and 3069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3065 and 3069. First we will calculate the prime factors of 3065 and 3069.
Prime Factorization of 3065
Prime factors of 3065 are 5, 613. Prime factorization of 3065 in exponential form is:
3065 = 51 × 6131
Prime Factorization of 3069
Prime factors of 3069 are 3, 11, 31. Prime factorization of 3069 in exponential form is:
3069 = 32 × 111 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 3065 and 3069.
LCM(3065,3069) = 51 × 6131 × 32 × 111 × 311
LCM(3065,3069) = 9406485
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