What is the Least Common Multiple of 27203 and 27211?
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 27203 and 27211 is 740220833.
LCM(27203,27211) = 740220833
Least Common Multiple of 27203 and 27211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27203 and 27211, than apply into the LCM equation.
GCF(27203,27211) = 1
LCM(27203,27211) = ( 27203 × 27211) / 1
LCM(27203,27211) = 740220833 / 1
LCM(27203,27211) = 740220833
Least Common Multiple (LCM) of 27203 and 27211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27203 and 27211. First we will calculate the prime factors of 27203 and 27211.
Prime Factorization of 27203
Prime factors of 27203 are 11, 2473. Prime factorization of 27203 in exponential form is:
27203 = 111 × 24731
Prime Factorization of 27211
Prime factors of 27211 are 27211. Prime factorization of 27211 in exponential form is:
27211 = 272111
Now multiplying the highest exponent prime factors to calculate the LCM of 27203 and 27211.
LCM(27203,27211) = 111 × 24731 × 272111
LCM(27203,27211) = 740220833
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