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What is the Least Common Multiple of 48946 and 48956?

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 48946 and 48956 is 1198100188.

LCM(48946,48956) = 1198100188

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Least Common Multiple of 48946 and 48956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48946 and 48956, than apply into the LCM equation.

GCF(48946,48956) = 2
LCM(48946,48956) = ( 48946 × 48956) / 2
LCM(48946,48956) = 2396200376 / 2
LCM(48946,48956) = 1198100188

Least Common Multiple (LCM) of 48946 and 48956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48946 and 48956. First we will calculate the prime factors of 48946 and 48956.

Prime Factorization of 48946

Prime factors of 48946 are 2, 24473. Prime factorization of 48946 in exponential form is:

48946 = 21 × 244731

Prime Factorization of 48956

Prime factors of 48956 are 2, 12239. Prime factorization of 48956 in exponential form is:

48956 = 22 × 122391

Now multiplying the highest exponent prime factors to calculate the LCM of 48946 and 48956.

LCM(48946,48956) = 22 × 244731 × 122391
LCM(48946,48956) = 1198100188