What is the Least Common Multiple of 27468 and 27488?
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 27468 and 27488 is 188760096.
LCM(27468,27488) = 188760096
Least Common Multiple of 27468 and 27488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27468 and 27488, than apply into the LCM equation.
GCF(27468,27488) = 4
LCM(27468,27488) = ( 27468 × 27488) / 4
LCM(27468,27488) = 755040384 / 4
LCM(27468,27488) = 188760096
Least Common Multiple (LCM) of 27468 and 27488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27468 and 27488. First we will calculate the prime factors of 27468 and 27488.
Prime Factorization of 27468
Prime factors of 27468 are 2, 3, 7, 109. Prime factorization of 27468 in exponential form is:
27468 = 22 × 32 × 71 × 1091
Prime Factorization of 27488
Prime factors of 27488 are 2, 859. Prime factorization of 27488 in exponential form is:
27488 = 25 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 27468 and 27488.
LCM(27468,27488) = 25 × 32 × 71 × 1091 × 8591
LCM(27468,27488) = 188760096
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