What is the Least Common Multiple of 77272 and 77286?
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 77272 and 77286 is 2986021896.
LCM(77272,77286) = 2986021896
Least Common Multiple of 77272 and 77286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77272 and 77286, than apply into the LCM equation.
GCF(77272,77286) = 2
LCM(77272,77286) = ( 77272 × 77286) / 2
LCM(77272,77286) = 5972043792 / 2
LCM(77272,77286) = 2986021896
Least Common Multiple (LCM) of 77272 and 77286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77272 and 77286. First we will calculate the prime factors of 77272 and 77286.
Prime Factorization of 77272
Prime factors of 77272 are 2, 13, 743. Prime factorization of 77272 in exponential form is:
77272 = 23 × 131 × 7431
Prime Factorization of 77286
Prime factors of 77286 are 2, 3, 11, 1171. Prime factorization of 77286 in exponential form is:
77286 = 21 × 31 × 111 × 11711
Now multiplying the highest exponent prime factors to calculate the LCM of 77272 and 77286.
LCM(77272,77286) = 23 × 131 × 7431 × 31 × 111 × 11711
LCM(77272,77286) = 2986021896
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