What is the Least Common Multiple of 65180 and 65192?
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 65180 and 65192 is 1062303640.
LCM(65180,65192) = 1062303640
Least Common Multiple of 65180 and 65192 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65180 and 65192, than apply into the LCM equation.
GCF(65180,65192) = 4
LCM(65180,65192) = ( 65180 × 65192) / 4
LCM(65180,65192) = 4249214560 / 4
LCM(65180,65192) = 1062303640
Least Common Multiple (LCM) of 65180 and 65192 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65180 and 65192. First we will calculate the prime factors of 65180 and 65192.
Prime Factorization of 65180
Prime factors of 65180 are 2, 5, 3259. Prime factorization of 65180 in exponential form is:
65180 = 22 × 51 × 32591
Prime Factorization of 65192
Prime factors of 65192 are 2, 29, 281. Prime factorization of 65192 in exponential form is:
65192 = 23 × 291 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 65180 and 65192.
LCM(65180,65192) = 23 × 51 × 32591 × 291 × 2811
LCM(65180,65192) = 1062303640
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