What is the Least Common Multiple of 65480 and 65492?
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 65480 and 65492 is 1072104040.
LCM(65480,65492) = 1072104040
Least Common Multiple of 65480 and 65492 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65480 and 65492, than apply into the LCM equation.
GCF(65480,65492) = 4
LCM(65480,65492) = ( 65480 × 65492) / 4
LCM(65480,65492) = 4288416160 / 4
LCM(65480,65492) = 1072104040
Least Common Multiple (LCM) of 65480 and 65492 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65480 and 65492. First we will calculate the prime factors of 65480 and 65492.
Prime Factorization of 65480
Prime factors of 65480 are 2, 5, 1637. Prime factorization of 65480 in exponential form is:
65480 = 23 × 51 × 16371
Prime Factorization of 65492
Prime factors of 65492 are 2, 7, 2339. Prime factorization of 65492 in exponential form is:
65492 = 22 × 71 × 23391
Now multiplying the highest exponent prime factors to calculate the LCM of 65480 and 65492.
LCM(65480,65492) = 23 × 51 × 16371 × 71 × 23391
LCM(65480,65492) = 1072104040
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