What is the Least Common Multiple of 77244 and 77255?
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 77244 and 77255 is 5967485220.
LCM(77244,77255) = 5967485220
Least Common Multiple of 77244 and 77255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77244 and 77255, than apply into the LCM equation.
GCF(77244,77255) = 1
LCM(77244,77255) = ( 77244 × 77255) / 1
LCM(77244,77255) = 5967485220 / 1
LCM(77244,77255) = 5967485220
Least Common Multiple (LCM) of 77244 and 77255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77244 and 77255. First we will calculate the prime factors of 77244 and 77255.
Prime Factorization of 77244
Prime factors of 77244 are 2, 3, 41, 157. Prime factorization of 77244 in exponential form is:
77244 = 22 × 31 × 411 × 1571
Prime Factorization of 77255
Prime factors of 77255 are 5, 15451. Prime factorization of 77255 in exponential form is:
77255 = 51 × 154511
Now multiplying the highest exponent prime factors to calculate the LCM of 77244 and 77255.
LCM(77244,77255) = 22 × 31 × 411 × 1571 × 51 × 154511
LCM(77244,77255) = 5967485220
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