What is the Least Common Multiple of 50622 and 50638?
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 50622 and 50638 is 1281698418.
LCM(50622,50638) = 1281698418
Least Common Multiple of 50622 and 50638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50622 and 50638, than apply into the LCM equation.
GCF(50622,50638) = 2
LCM(50622,50638) = ( 50622 × 50638) / 2
LCM(50622,50638) = 2563396836 / 2
LCM(50622,50638) = 1281698418
Least Common Multiple (LCM) of 50622 and 50638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50622 and 50638. First we will calculate the prime factors of 50622 and 50638.
Prime Factorization of 50622
Prime factors of 50622 are 2, 3, 11, 13, 59. Prime factorization of 50622 in exponential form is:
50622 = 21 × 31 × 111 × 131 × 591
Prime Factorization of 50638
Prime factors of 50638 are 2, 7, 3617. Prime factorization of 50638 in exponential form is:
50638 = 21 × 71 × 36171
Now multiplying the highest exponent prime factors to calculate the LCM of 50622 and 50638.
LCM(50622,50638) = 21 × 31 × 111 × 131 × 591 × 71 × 36171
LCM(50622,50638) = 1281698418
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