What is the Least Common Multiple of 65211 and 65225?
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 65211 and 65225 is 4253387475.
LCM(65211,65225) = 4253387475
Least Common Multiple of 65211 and 65225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65211 and 65225, than apply into the LCM equation.
GCF(65211,65225) = 1
LCM(65211,65225) = ( 65211 × 65225) / 1
LCM(65211,65225) = 4253387475 / 1
LCM(65211,65225) = 4253387475
Least Common Multiple (LCM) of 65211 and 65225 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65211 and 65225. First we will calculate the prime factors of 65211 and 65225.
Prime Factorization of 65211
Prime factors of 65211 are 3, 21737. Prime factorization of 65211 in exponential form is:
65211 = 31 × 217371
Prime Factorization of 65225
Prime factors of 65225 are 5, 2609. Prime factorization of 65225 in exponential form is:
65225 = 52 × 26091
Now multiplying the highest exponent prime factors to calculate the LCM of 65211 and 65225.
LCM(65211,65225) = 31 × 217371 × 52 × 26091
LCM(65211,65225) = 4253387475
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