What is the Least Common Multiple of 55195 and 55208?
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 55195 and 55208 is 3047205560.
LCM(55195,55208) = 3047205560
Least Common Multiple of 55195 and 55208 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55195 and 55208, than apply into the LCM equation.
GCF(55195,55208) = 1
LCM(55195,55208) = ( 55195 × 55208) / 1
LCM(55195,55208) = 3047205560 / 1
LCM(55195,55208) = 3047205560
Least Common Multiple (LCM) of 55195 and 55208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55195 and 55208. First we will calculate the prime factors of 55195 and 55208.
Prime Factorization of 55195
Prime factors of 55195 are 5, 7, 19, 83. Prime factorization of 55195 in exponential form is:
55195 = 51 × 71 × 191 × 831
Prime Factorization of 55208
Prime factors of 55208 are 2, 67, 103. Prime factorization of 55208 in exponential form is:
55208 = 23 × 671 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 55195 and 55208.
LCM(55195,55208) = 51 × 71 × 191 × 831 × 23 × 671 × 1031
LCM(55195,55208) = 3047205560
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