What is the Least Common Multiple of 26552 and 26568?
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 26552 and 26568 is 88179192.
LCM(26552,26568) = 88179192
Least Common Multiple of 26552 and 26568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26552 and 26568, than apply into the LCM equation.
GCF(26552,26568) = 8
LCM(26552,26568) = ( 26552 × 26568) / 8
LCM(26552,26568) = 705433536 / 8
LCM(26552,26568) = 88179192
Least Common Multiple (LCM) of 26552 and 26568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26552 and 26568. First we will calculate the prime factors of 26552 and 26568.
Prime Factorization of 26552
Prime factors of 26552 are 2, 3319. Prime factorization of 26552 in exponential form is:
26552 = 23 × 33191
Prime Factorization of 26568
Prime factors of 26568 are 2, 3, 41. Prime factorization of 26568 in exponential form is:
26568 = 23 × 34 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 26552 and 26568.
LCM(26552,26568) = 23 × 33191 × 34 × 411
LCM(26552,26568) = 88179192
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