What is the Least Common Multiple of 65660 and 65680?
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 65660 and 65680 is 215627440.
LCM(65660,65680) = 215627440
Least Common Multiple of 65660 and 65680 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65660 and 65680, than apply into the LCM equation.
GCF(65660,65680) = 20
LCM(65660,65680) = ( 65660 × 65680) / 20
LCM(65660,65680) = 4312548800 / 20
LCM(65660,65680) = 215627440
Least Common Multiple (LCM) of 65660 and 65680 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65660 and 65680. First we will calculate the prime factors of 65660 and 65680.
Prime Factorization of 65660
Prime factors of 65660 are 2, 5, 7, 67. Prime factorization of 65660 in exponential form is:
65660 = 22 × 51 × 72 × 671
Prime Factorization of 65680
Prime factors of 65680 are 2, 5, 821. Prime factorization of 65680 in exponential form is:
65680 = 24 × 51 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 65660 and 65680.
LCM(65660,65680) = 24 × 51 × 72 × 671 × 8211
LCM(65660,65680) = 215627440
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