What is the Least Common Multiple of 55148 and 55154?
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 55148 and 55154 is 1520816396.
LCM(55148,55154) = 1520816396
Least Common Multiple of 55148 and 55154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55148 and 55154, than apply into the LCM equation.
GCF(55148,55154) = 2
LCM(55148,55154) = ( 55148 × 55154) / 2
LCM(55148,55154) = 3041632792 / 2
LCM(55148,55154) = 1520816396
Least Common Multiple (LCM) of 55148 and 55154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55148 and 55154. First we will calculate the prime factors of 55148 and 55154.
Prime Factorization of 55148
Prime factors of 55148 are 2, 17, 811. Prime factorization of 55148 in exponential form is:
55148 = 22 × 171 × 8111
Prime Factorization of 55154
Prime factors of 55154 are 2, 11, 23, 109. Prime factorization of 55154 in exponential form is:
55154 = 21 × 111 × 231 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 55148 and 55154.
LCM(55148,55154) = 22 × 171 × 8111 × 111 × 231 × 1091
LCM(55148,55154) = 1520816396
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