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What is the Least Common Multiple of 50963 and 50979?

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 50979 is 2598042777.

LCM(50963,50979) = 2598042777

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Least Common Multiple of 50963 and 50979 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 50979, than apply into the LCM equation.

GCF(50963,50979) = 1
LCM(50963,50979) = ( 50963 × 50979) / 1
LCM(50963,50979) = 2598042777 / 1
LCM(50963,50979) = 2598042777

Least Common Multiple (LCM) of 50963 and 50979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50963 and 50979. First we will calculate the prime factors of 50963 and 50979.

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 50979

Prime factors of 50979 are 3, 16993. Prime factorization of 50979 in exponential form is:

50979 = 31 × 169931

Now multiplying the highest exponent prime factors to calculate the LCM of 50963 and 50979.

LCM(50963,50979) = 111 × 411 × 1131 × 31 × 169931
LCM(50963,50979) = 2598042777