What is the Least Common Multiple of 50063 and 50070?
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 50063 and 50070 is 2506654410.
LCM(50063,50070) = 2506654410
Least Common Multiple of 50063 and 50070 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50063 and 50070, than apply into the LCM equation.
GCF(50063,50070) = 1
LCM(50063,50070) = ( 50063 × 50070) / 1
LCM(50063,50070) = 2506654410 / 1
LCM(50063,50070) = 2506654410
Least Common Multiple (LCM) of 50063 and 50070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50063 and 50070. First we will calculate the prime factors of 50063 and 50070.
Prime Factorization of 50063
Prime factors of 50063 are 13, 3851. Prime factorization of 50063 in exponential form is:
50063 = 131 × 38511
Prime Factorization of 50070
Prime factors of 50070 are 2, 3, 5, 1669. Prime factorization of 50070 in exponential form is:
50070 = 21 × 31 × 51 × 16691
Now multiplying the highest exponent prime factors to calculate the LCM of 50063 and 50070.
LCM(50063,50070) = 131 × 38511 × 21 × 31 × 51 × 16691
LCM(50063,50070) = 2506654410
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