What is the Least Common Multiple of 55207 and 55211?
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 55207 and 55211 is 3048033677.
LCM(55207,55211) = 3048033677
Least Common Multiple of 55207 and 55211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55207 and 55211, than apply into the LCM equation.
GCF(55207,55211) = 1
LCM(55207,55211) = ( 55207 × 55211) / 1
LCM(55207,55211) = 3048033677 / 1
LCM(55207,55211) = 3048033677
Least Common Multiple (LCM) of 55207 and 55211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55207 and 55211. First we will calculate the prime factors of 55207 and 55211.
Prime Factorization of 55207
Prime factors of 55207 are 55207. Prime factorization of 55207 in exponential form is:
55207 = 552071
Prime Factorization of 55211
Prime factors of 55211 are 13, 31, 137. Prime factorization of 55211 in exponential form is:
55211 = 131 × 311 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 55207 and 55211.
LCM(55207,55211) = 552071 × 131 × 311 × 1371
LCM(55207,55211) = 3048033677
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