What is the Least Common Multiple of 26756 and 26772?
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 26756 and 26772 is 179077908.
LCM(26756,26772) = 179077908
Least Common Multiple of 26756 and 26772 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26756 and 26772, than apply into the LCM equation.
GCF(26756,26772) = 4
LCM(26756,26772) = ( 26756 × 26772) / 4
LCM(26756,26772) = 716311632 / 4
LCM(26756,26772) = 179077908
Least Common Multiple (LCM) of 26756 and 26772 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26756 and 26772. First we will calculate the prime factors of 26756 and 26772.
Prime Factorization of 26756
Prime factors of 26756 are 2, 6689. Prime factorization of 26756 in exponential form is:
26756 = 22 × 66891
Prime Factorization of 26772
Prime factors of 26772 are 2, 3, 23, 97. Prime factorization of 26772 in exponential form is:
26772 = 22 × 31 × 231 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 26756 and 26772.
LCM(26756,26772) = 22 × 66891 × 31 × 231 × 971
LCM(26756,26772) = 179077908
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