What is the Least Common Multiple of 27211 and 27215?
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 27211 and 27215 is 740547365.
LCM(27211,27215) = 740547365
Least Common Multiple of 27211 and 27215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27211 and 27215, than apply into the LCM equation.
GCF(27211,27215) = 1
LCM(27211,27215) = ( 27211 × 27215) / 1
LCM(27211,27215) = 740547365 / 1
LCM(27211,27215) = 740547365
Least Common Multiple (LCM) of 27211 and 27215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27211 and 27215. First we will calculate the prime factors of 27211 and 27215.
Prime Factorization of 27211
Prime factors of 27211 are 27211. Prime factorization of 27211 in exponential form is:
27211 = 272111
Prime Factorization of 27215
Prime factors of 27215 are 5, 5443. Prime factorization of 27215 in exponential form is:
27215 = 51 × 54431
Now multiplying the highest exponent prime factors to calculate the LCM of 27211 and 27215.
LCM(27211,27215) = 272111 × 51 × 54431
LCM(27211,27215) = 740547365
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