What is the Least Common Multiple of 51135 and 51149?
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 51135 and 51149 is 373643445.
LCM(51135,51149) = 373643445
Least Common Multiple of 51135 and 51149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51135 and 51149, than apply into the LCM equation.
GCF(51135,51149) = 7
LCM(51135,51149) = ( 51135 × 51149) / 7
LCM(51135,51149) = 2615504115 / 7
LCM(51135,51149) = 373643445
Least Common Multiple (LCM) of 51135 and 51149 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51135 and 51149. First we will calculate the prime factors of 51135 and 51149.
Prime Factorization of 51135
Prime factors of 51135 are 3, 5, 7, 487. Prime factorization of 51135 in exponential form is:
51135 = 31 × 51 × 71 × 4871
Prime Factorization of 51149
Prime factors of 51149 are 7, 7307. Prime factorization of 51149 in exponential form is:
51149 = 71 × 73071
Now multiplying the highest exponent prime factors to calculate the LCM of 51135 and 51149.
LCM(51135,51149) = 31 × 51 × 71 × 4871 × 73071
LCM(51135,51149) = 373643445
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