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What is the Least Common Multiple of 54961 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 54961 and 54974 is 3021426014.

LCM(54961,54974) = 3021426014

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Least Common Multiple of 54961 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 54961 and 54974, than apply into the LCM equation.

GCF(54961,54974) = 1
LCM(54961,54974) = ( 54961 × 54974) / 1
LCM(54961,54974) = 3021426014 / 1
LCM(54961,54974) = 3021426014

Least Common Multiple (LCM) of 54961 and 54974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54961 and 54974. First we will calculate the prime factors of 54961 and 54974.

Prime Factorization of 54961

Prime factors of 54961 are 17, 53, 61. Prime factorization of 54961 in exponential form is:

54961 = 171 × 531 × 611

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 54961 and 54974.

LCM(54961,54974) = 171 × 531 × 611 × 21 × 274871
LCM(54961,54974) = 3021426014