What is the Least Common Multiple of 51062 and 51073?
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 51062 and 51073 is 237080866.
LCM(51062,51073) = 237080866
Least Common Multiple of 51062 and 51073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51062 and 51073, than apply into the LCM equation.
GCF(51062,51073) = 11
LCM(51062,51073) = ( 51062 × 51073) / 11
LCM(51062,51073) = 2607889526 / 11
LCM(51062,51073) = 237080866
Least Common Multiple (LCM) of 51062 and 51073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51062 and 51073. First we will calculate the prime factors of 51062 and 51073.
Prime Factorization of 51062
Prime factors of 51062 are 2, 11, 211. Prime factorization of 51062 in exponential form is:
51062 = 21 × 112 × 2111
Prime Factorization of 51073
Prime factors of 51073 are 11, 4643. Prime factorization of 51073 in exponential form is:
51073 = 111 × 46431
Now multiplying the highest exponent prime factors to calculate the LCM of 51062 and 51073.
LCM(51062,51073) = 21 × 112 × 2111 × 46431
LCM(51062,51073) = 237080866
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