What is the Least Common Multiple of 27196 and 27212?
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 27196 and 27212 is 185014388.
LCM(27196,27212) = 185014388
Least Common Multiple of 27196 and 27212 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27196 and 27212, than apply into the LCM equation.
GCF(27196,27212) = 4
LCM(27196,27212) = ( 27196 × 27212) / 4
LCM(27196,27212) = 740057552 / 4
LCM(27196,27212) = 185014388
Least Common Multiple (LCM) of 27196 and 27212 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27196 and 27212. First we will calculate the prime factors of 27196 and 27212.
Prime Factorization of 27196
Prime factors of 27196 are 2, 13, 523. Prime factorization of 27196 in exponential form is:
27196 = 22 × 131 × 5231
Prime Factorization of 27212
Prime factors of 27212 are 2, 6803. Prime factorization of 27212 in exponential form is:
27212 = 22 × 68031
Now multiplying the highest exponent prime factors to calculate the LCM of 27196 and 27212.
LCM(27196,27212) = 22 × 131 × 5231 × 68031
LCM(27196,27212) = 185014388
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