What is the Least Common Multiple of 65628 and 65640?
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 65628 and 65640 is 358985160.
LCM(65628,65640) = 358985160
Least Common Multiple of 65628 and 65640 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65628 and 65640, than apply into the LCM equation.
GCF(65628,65640) = 12
LCM(65628,65640) = ( 65628 × 65640) / 12
LCM(65628,65640) = 4307821920 / 12
LCM(65628,65640) = 358985160
Least Common Multiple (LCM) of 65628 and 65640 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65628 and 65640. First we will calculate the prime factors of 65628 and 65640.
Prime Factorization of 65628
Prime factors of 65628 are 2, 3, 1823. Prime factorization of 65628 in exponential form is:
65628 = 22 × 32 × 18231
Prime Factorization of 65640
Prime factors of 65640 are 2, 3, 5, 547. Prime factorization of 65640 in exponential form is:
65640 = 23 × 31 × 51 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 65628 and 65640.
LCM(65628,65640) = 23 × 32 × 18231 × 51 × 5471
LCM(65628,65640) = 358985160
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