What is the Least Common Multiple of 51070 and 51083?
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 51070 and 51083 is 2608808810.
LCM(51070,51083) = 2608808810
Least Common Multiple of 51070 and 51083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51070 and 51083, than apply into the LCM equation.
GCF(51070,51083) = 1
LCM(51070,51083) = ( 51070 × 51083) / 1
LCM(51070,51083) = 2608808810 / 1
LCM(51070,51083) = 2608808810
Least Common Multiple (LCM) of 51070 and 51083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51070 and 51083. First we will calculate the prime factors of 51070 and 51083.
Prime Factorization of 51070
Prime factors of 51070 are 2, 5, 5107. Prime factorization of 51070 in exponential form is:
51070 = 21 × 51 × 51071
Prime Factorization of 51083
Prime factors of 51083 are 23, 2221. Prime factorization of 51083 in exponential form is:
51083 = 231 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 51070 and 51083.
LCM(51070,51083) = 21 × 51 × 51071 × 231 × 22211
LCM(51070,51083) = 2608808810
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