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What is the Least Common Multiple of 54958 and 54974?

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 54958 and 54974 is 1510630546.

LCM(54958,54974) = 1510630546

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Least Common Multiple of 54958 and 54974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54958 and 54974, than apply into the LCM equation.

GCF(54958,54974) = 2
LCM(54958,54974) = ( 54958 × 54974) / 2
LCM(54958,54974) = 3021261092 / 2
LCM(54958,54974) = 1510630546

Least Common Multiple (LCM) of 54958 and 54974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54958 and 54974. First we will calculate the prime factors of 54958 and 54974.

Prime Factorization of 54958

Prime factors of 54958 are 2, 27479. Prime factorization of 54958 in exponential form is:

54958 = 21 × 274791

Prime Factorization of 54974

Prime factors of 54974 are 2, 27487. Prime factorization of 54974 in exponential form is:

54974 = 21 × 274871

Now multiplying the highest exponent prime factors to calculate the LCM of 54958 and 54974.

LCM(54958,54974) = 21 × 274791 × 274871
LCM(54958,54974) = 1510630546