What is the Least Common Multiple of 68660 and 68670?
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 68660 and 68670 is 471488220.
LCM(68660,68670) = 471488220
Least Common Multiple of 68660 and 68670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68660 and 68670, than apply into the LCM equation.
GCF(68660,68670) = 10
LCM(68660,68670) = ( 68660 × 68670) / 10
LCM(68660,68670) = 4714882200 / 10
LCM(68660,68670) = 471488220
Least Common Multiple (LCM) of 68660 and 68670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68660 and 68670. First we will calculate the prime factors of 68660 and 68670.
Prime Factorization of 68660
Prime factors of 68660 are 2, 5, 3433. Prime factorization of 68660 in exponential form is:
68660 = 22 × 51 × 34331
Prime Factorization of 68670
Prime factors of 68670 are 2, 3, 5, 7, 109. Prime factorization of 68670 in exponential form is:
68670 = 21 × 32 × 51 × 71 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 68660 and 68670.
LCM(68660,68670) = 22 × 51 × 34331 × 32 × 71 × 1091
LCM(68660,68670) = 471488220
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