What is the Least Common Multiple of 68645 and 68661?
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 68645 and 68661 is 4713234345.
LCM(68645,68661) = 4713234345
Least Common Multiple of 68645 and 68661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68645 and 68661, than apply into the LCM equation.
GCF(68645,68661) = 1
LCM(68645,68661) = ( 68645 × 68661) / 1
LCM(68645,68661) = 4713234345 / 1
LCM(68645,68661) = 4713234345
Least Common Multiple (LCM) of 68645 and 68661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68645 and 68661. First we will calculate the prime factors of 68645 and 68661.
Prime Factorization of 68645
Prime factors of 68645 are 5, 13729. Prime factorization of 68645 in exponential form is:
68645 = 51 × 137291
Prime Factorization of 68661
Prime factors of 68661 are 3, 2543. Prime factorization of 68661 in exponential form is:
68661 = 33 × 25431
Now multiplying the highest exponent prime factors to calculate the LCM of 68645 and 68661.
LCM(68645,68661) = 51 × 137291 × 33 × 25431
LCM(68645,68661) = 4713234345
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