What is the Least Common Multiple of 65754 and 65772?
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 65754 and 65772 is 240265116.
LCM(65754,65772) = 240265116
Least Common Multiple of 65754 and 65772 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65754 and 65772, than apply into the LCM equation.
GCF(65754,65772) = 18
LCM(65754,65772) = ( 65754 × 65772) / 18
LCM(65754,65772) = 4324772088 / 18
LCM(65754,65772) = 240265116
Least Common Multiple (LCM) of 65754 and 65772 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65754 and 65772. First we will calculate the prime factors of 65754 and 65772.
Prime Factorization of 65754
Prime factors of 65754 are 2, 3, 13, 281. Prime factorization of 65754 in exponential form is:
65754 = 21 × 32 × 131 × 2811
Prime Factorization of 65772
Prime factors of 65772 are 2, 3, 7, 29. Prime factorization of 65772 in exponential form is:
65772 = 22 × 34 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 65754 and 65772.
LCM(65754,65772) = 22 × 34 × 131 × 2811 × 71 × 291
LCM(65754,65772) = 240265116
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