What is the Least Common Multiple of 55194 and 55202?
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 55194 and 55202 is 1523409594.
LCM(55194,55202) = 1523409594
Least Common Multiple of 55194 and 55202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55194 and 55202, than apply into the LCM equation.
GCF(55194,55202) = 2
LCM(55194,55202) = ( 55194 × 55202) / 2
LCM(55194,55202) = 3046819188 / 2
LCM(55194,55202) = 1523409594
Least Common Multiple (LCM) of 55194 and 55202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55194 and 55202. First we will calculate the prime factors of 55194 and 55202.
Prime Factorization of 55194
Prime factors of 55194 are 2, 3, 9199. Prime factorization of 55194 in exponential form is:
55194 = 21 × 31 × 91991
Prime Factorization of 55202
Prime factors of 55202 are 2, 7, 3943. Prime factorization of 55202 in exponential form is:
55202 = 21 × 71 × 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 55194 and 55202.
LCM(55194,55202) = 21 × 31 × 91991 × 71 × 39431
LCM(55194,55202) = 1523409594
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