What is the Least Common Multiple of 50618 and 50622?
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 50618 and 50622 is 1281192198.
LCM(50618,50622) = 1281192198
Least Common Multiple of 50618 and 50622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50618 and 50622, than apply into the LCM equation.
GCF(50618,50622) = 2
LCM(50618,50622) = ( 50618 × 50622) / 2
LCM(50618,50622) = 2562384396 / 2
LCM(50618,50622) = 1281192198
Least Common Multiple (LCM) of 50618 and 50622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50618 and 50622. First we will calculate the prime factors of 50618 and 50622.
Prime Factorization of 50618
Prime factors of 50618 are 2, 25309. Prime factorization of 50618 in exponential form is:
50618 = 21 × 253091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 50618 and 50622.
LCM(50618,50622) = 21 × 253091 × 31 × 111 × 131 × 591
LCM(50618,50622) = 1281192198
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