What is the Least Common Multiple of 26432 and 26448?
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 26432 and 26448 is 43692096.
LCM(26432,26448) = 43692096
Least Common Multiple of 26432 and 26448 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26432 and 26448, than apply into the LCM equation.
GCF(26432,26448) = 16
LCM(26432,26448) = ( 26432 × 26448) / 16
LCM(26432,26448) = 699073536 / 16
LCM(26432,26448) = 43692096
Least Common Multiple (LCM) of 26432 and 26448 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26432 and 26448. First we will calculate the prime factors of 26432 and 26448.
Prime Factorization of 26432
Prime factors of 26432 are 2, 7, 59. Prime factorization of 26432 in exponential form is:
26432 = 26 × 71 × 591
Prime Factorization of 26448
Prime factors of 26448 are 2, 3, 19, 29. Prime factorization of 26448 in exponential form is:
26448 = 24 × 31 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 26432 and 26448.
LCM(26432,26448) = 26 × 71 × 591 × 31 × 191 × 291
LCM(26432,26448) = 43692096
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