What is the Least Common Multiple of 26125 and 26136?
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 26125 and 26136 is 62073000.
LCM(26125,26136) = 62073000
Least Common Multiple of 26125 and 26136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26125 and 26136, than apply into the LCM equation.
GCF(26125,26136) = 11
LCM(26125,26136) = ( 26125 × 26136) / 11
LCM(26125,26136) = 682803000 / 11
LCM(26125,26136) = 62073000
Least Common Multiple (LCM) of 26125 and 26136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26125 and 26136. First we will calculate the prime factors of 26125 and 26136.
Prime Factorization of 26125
Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:
26125 = 53 × 111 × 191
Prime Factorization of 26136
Prime factors of 26136 are 2, 3, 11. Prime factorization of 26136 in exponential form is:
26136 = 23 × 33 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 26125 and 26136.
LCM(26125,26136) = 53 × 112 × 191 × 23 × 33
LCM(26125,26136) = 62073000
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