What is the Least Common Multiple of 85051 and 85066?
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 85051 and 85066 is 7234948366.
LCM(85051,85066) = 7234948366
Least Common Multiple of 85051 and 85066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85051 and 85066, than apply into the LCM equation.
GCF(85051,85066) = 1
LCM(85051,85066) = ( 85051 × 85066) / 1
LCM(85051,85066) = 7234948366 / 1
LCM(85051,85066) = 7234948366
Least Common Multiple (LCM) of 85051 and 85066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 85051 and 85066. First we will calculate the prime factors of 85051 and 85066.
Prime Factorization of 85051
Prime factors of 85051 are 17, 5003. Prime factorization of 85051 in exponential form is:
85051 = 171 × 50031
Prime Factorization of 85066
Prime factors of 85066 are 2, 42533. Prime factorization of 85066 in exponential form is:
85066 = 21 × 425331
Now multiplying the highest exponent prime factors to calculate the LCM of 85051 and 85066.
LCM(85051,85066) = 171 × 50031 × 21 × 425331
LCM(85051,85066) = 7234948366
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