What is the Least Common Multiple of 50954 and 50968?
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 50954 and 50968 is 1298511736.
LCM(50954,50968) = 1298511736
Least Common Multiple of 50954 and 50968 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50954 and 50968, than apply into the LCM equation.
GCF(50954,50968) = 2
LCM(50954,50968) = ( 50954 × 50968) / 2
LCM(50954,50968) = 2597023472 / 2
LCM(50954,50968) = 1298511736
Least Common Multiple (LCM) of 50954 and 50968 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50954 and 50968. First we will calculate the prime factors of 50954 and 50968.
Prime Factorization of 50954
Prime factors of 50954 are 2, 73, 349. Prime factorization of 50954 in exponential form is:
50954 = 21 × 731 × 3491
Prime Factorization of 50968
Prime factors of 50968 are 2, 23, 277. Prime factorization of 50968 in exponential form is:
50968 = 23 × 231 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 50954 and 50968.
LCM(50954,50968) = 23 × 731 × 3491 × 231 × 2771
LCM(50954,50968) = 1298511736
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