What is the Least Common Multiple of 28052 and 28061?
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 28052 and 28061 is 787167172.
LCM(28052,28061) = 787167172
Least Common Multiple of 28052 and 28061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28052 and 28061, than apply into the LCM equation.
GCF(28052,28061) = 1
LCM(28052,28061) = ( 28052 × 28061) / 1
LCM(28052,28061) = 787167172 / 1
LCM(28052,28061) = 787167172
Least Common Multiple (LCM) of 28052 and 28061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28052 and 28061. First we will calculate the prime factors of 28052 and 28061.
Prime Factorization of 28052
Prime factors of 28052 are 2, 7013. Prime factorization of 28052 in exponential form is:
28052 = 22 × 70131
Prime Factorization of 28061
Prime factors of 28061 are 11, 2551. Prime factorization of 28061 in exponential form is:
28061 = 111 × 25511
Now multiplying the highest exponent prime factors to calculate the LCM of 28052 and 28061.
LCM(28052,28061) = 22 × 70131 × 111 × 25511
LCM(28052,28061) = 787167172
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