What is the Least Common Multiple of 26464 and 26475?
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 26464 and 26475 is 700634400.
LCM(26464,26475) = 700634400
Least Common Multiple of 26464 and 26475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26464 and 26475, than apply into the LCM equation.
GCF(26464,26475) = 1
LCM(26464,26475) = ( 26464 × 26475) / 1
LCM(26464,26475) = 700634400 / 1
LCM(26464,26475) = 700634400
Least Common Multiple (LCM) of 26464 and 26475 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26464 and 26475. First we will calculate the prime factors of 26464 and 26475.
Prime Factorization of 26464
Prime factors of 26464 are 2, 827. Prime factorization of 26464 in exponential form is:
26464 = 25 × 8271
Prime Factorization of 26475
Prime factors of 26475 are 3, 5, 353. Prime factorization of 26475 in exponential form is:
26475 = 31 × 52 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 26464 and 26475.
LCM(26464,26475) = 25 × 8271 × 31 × 52 × 3531
LCM(26464,26475) = 700634400
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