What is the Least Common Multiple of 65211 and 65222?
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 65222 is 4253191842.
LCM(65211,65222) = 4253191842
Least Common Multiple of 65211 and 65222 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 65222, than apply into the LCM equation.
GCF(65211,65222) = 1
LCM(65211,65222) = ( 65211 × 65222) / 1
LCM(65211,65222) = 4253191842 / 1
LCM(65211,65222) = 4253191842
Least Common Multiple (LCM) of 65211 and 65222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65211 and 65222. First we will calculate the prime factors of 65211 and 65222.
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 65222
Prime factors of 65222 are 2, 32611. Prime factorization of 65222 in exponential form is:
65222 = 21 × 326111
Now multiplying the highest exponent prime factors to calculate the LCM of 65211 and 65222.
LCM(65211,65222) = 31 × 217371 × 21 × 326111
LCM(65211,65222) = 4253191842
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