What is the Least Common Multiple of 16228 and 16244?
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 16228 and 16244 is 65901908.
LCM(16228,16244) = 65901908
Least Common Multiple of 16228 and 16244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16228 and 16244, than apply into the LCM equation.
GCF(16228,16244) = 4
LCM(16228,16244) = ( 16228 × 16244) / 4
LCM(16228,16244) = 263607632 / 4
LCM(16228,16244) = 65901908
Least Common Multiple (LCM) of 16228 and 16244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16228 and 16244. First we will calculate the prime factors of 16228 and 16244.
Prime Factorization of 16228
Prime factors of 16228 are 2, 4057. Prime factorization of 16228 in exponential form is:
16228 = 22 × 40571
Prime Factorization of 16244
Prime factors of 16244 are 2, 31, 131. Prime factorization of 16244 in exponential form is:
16244 = 22 × 311 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 16228 and 16244.
LCM(16228,16244) = 22 × 40571 × 311 × 1311
LCM(16228,16244) = 65901908
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