What is the Least Common Multiple of 26084 and 26092?
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 26084 and 26092 is 170145932.
LCM(26084,26092) = 170145932
Least Common Multiple of 26084 and 26092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26084 and 26092, than apply into the LCM equation.
GCF(26084,26092) = 4
LCM(26084,26092) = ( 26084 × 26092) / 4
LCM(26084,26092) = 680583728 / 4
LCM(26084,26092) = 170145932
Least Common Multiple (LCM) of 26084 and 26092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26084 and 26092. First we will calculate the prime factors of 26084 and 26092.
Prime Factorization of 26084
Prime factors of 26084 are 2, 6521. Prime factorization of 26084 in exponential form is:
26084 = 22 × 65211
Prime Factorization of 26092
Prime factors of 26092 are 2, 11, 593. Prime factorization of 26092 in exponential form is:
26092 = 22 × 111 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 26084 and 26092.
LCM(26084,26092) = 22 × 65211 × 111 × 5931
LCM(26084,26092) = 170145932
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