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What is the Least Common Multiple of 54968 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 54968 and 54974 is 1510905416.

LCM(54968,54974) = 1510905416

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Least Common Multiple of 54968 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 54968 and 54974, than apply into the LCM equation.

GCF(54968,54974) = 2
LCM(54968,54974) = ( 54968 × 54974) / 2
LCM(54968,54974) = 3021810832 / 2
LCM(54968,54974) = 1510905416

Least Common Multiple (LCM) of 54968 and 54974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54968 and 54974. First we will calculate the prime factors of 54968 and 54974.

Prime Factorization of 54968

Prime factors of 54968 are 2, 6871. Prime factorization of 54968 in exponential form is:

54968 = 23 × 68711

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 54968 and 54974.

LCM(54968,54974) = 23 × 68711 × 274871
LCM(54968,54974) = 1510905416