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What is the Least Common Multiple of 54950 and 54956?

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 54950 and 54956 is 1509916100.

LCM(54950,54956) = 1509916100

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Least Common Multiple of 54950 and 54956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54950 and 54956, than apply into the LCM equation.

GCF(54950,54956) = 2
LCM(54950,54956) = ( 54950 × 54956) / 2
LCM(54950,54956) = 3019832200 / 2
LCM(54950,54956) = 1509916100

Least Common Multiple (LCM) of 54950 and 54956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54950 and 54956. First we will calculate the prime factors of 54950 and 54956.

Prime Factorization of 54950

Prime factors of 54950 are 2, 5, 7, 157. Prime factorization of 54950 in exponential form is:

54950 = 21 × 52 × 71 × 1571

Prime Factorization of 54956

Prime factors of 54956 are 2, 11, 1249. Prime factorization of 54956 in exponential form is:

54956 = 22 × 111 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 54950 and 54956.

LCM(54950,54956) = 22 × 52 × 71 × 1571 × 111 × 12491
LCM(54950,54956) = 1509916100