What is the Least Common Multiple of 44194 and 44202?
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 44194 and 44202 is 976731594.
LCM(44194,44202) = 976731594
Least Common Multiple of 44194 and 44202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44194 and 44202, than apply into the LCM equation.
GCF(44194,44202) = 2
LCM(44194,44202) = ( 44194 × 44202) / 2
LCM(44194,44202) = 1953463188 / 2
LCM(44194,44202) = 976731594
Least Common Multiple (LCM) of 44194 and 44202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44194 and 44202. First we will calculate the prime factors of 44194 and 44202.
Prime Factorization of 44194
Prime factors of 44194 are 2, 19, 1163. Prime factorization of 44194 in exponential form is:
44194 = 21 × 191 × 11631
Prime Factorization of 44202
Prime factors of 44202 are 2, 3, 53, 139. Prime factorization of 44202 in exponential form is:
44202 = 21 × 31 × 531 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 44194 and 44202.
LCM(44194,44202) = 21 × 191 × 11631 × 31 × 531 × 1391
LCM(44194,44202) = 976731594
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