GCF and LCM Calculator Logo

What is the Least Common Multiple of 50963 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 50963 and 50968 is 2597482184.

LCM(50963,50968) = 2597482184

LCM Calculator and
and

Least Common Multiple of 50963 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 50963 and 50968, than apply into the LCM equation.

GCF(50963,50968) = 1
LCM(50963,50968) = ( 50963 × 50968) / 1
LCM(50963,50968) = 2597482184 / 1
LCM(50963,50968) = 2597482184

Least Common Multiple (LCM) of 50963 and 50968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50963 and 50968. First we will calculate the prime factors of 50963 and 50968.

Prime Factorization of 50963

Prime factors of 50963 are 11, 41, 113. Prime factorization of 50963 in exponential form is:

50963 = 111 × 411 × 1131

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 50963 and 50968.

LCM(50963,50968) = 111 × 411 × 1131 × 23 × 231 × 2771
LCM(50963,50968) = 2597482184