What is the Least Common Multiple of 50611 and 50630?
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 50611 and 50630 is 2562434930.
LCM(50611,50630) = 2562434930
Least Common Multiple of 50611 and 50630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50611 and 50630, than apply into the LCM equation.
GCF(50611,50630) = 1
LCM(50611,50630) = ( 50611 × 50630) / 1
LCM(50611,50630) = 2562434930 / 1
LCM(50611,50630) = 2562434930
Least Common Multiple (LCM) of 50611 and 50630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50611 and 50630. First we will calculate the prime factors of 50611 and 50630.
Prime Factorization of 50611
Prime factors of 50611 are 11, 43, 107. Prime factorization of 50611 in exponential form is:
50611 = 111 × 431 × 1071
Prime Factorization of 50630
Prime factors of 50630 are 2, 5, 61, 83. Prime factorization of 50630 in exponential form is:
50630 = 21 × 51 × 611 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 50611 and 50630.
LCM(50611,50630) = 111 × 431 × 1071 × 21 × 51 × 611 × 831
LCM(50611,50630) = 2562434930
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