What is the Least Common Multiple of 26476 and 26484?
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 26476 and 26484 is 175297596.
LCM(26476,26484) = 175297596
Least Common Multiple of 26476 and 26484 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26476 and 26484, than apply into the LCM equation.
GCF(26476,26484) = 4
LCM(26476,26484) = ( 26476 × 26484) / 4
LCM(26476,26484) = 701190384 / 4
LCM(26476,26484) = 175297596
Least Common Multiple (LCM) of 26476 and 26484 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26476 and 26484. First we will calculate the prime factors of 26476 and 26484.
Prime Factorization of 26476
Prime factors of 26476 are 2, 6619. Prime factorization of 26476 in exponential form is:
26476 = 22 × 66191
Prime Factorization of 26484
Prime factors of 26484 are 2, 3, 2207. Prime factorization of 26484 in exponential form is:
26484 = 22 × 31 × 22071
Now multiplying the highest exponent prime factors to calculate the LCM of 26476 and 26484.
LCM(26476,26484) = 22 × 66191 × 31 × 22071
LCM(26476,26484) = 175297596
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