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What is the Least Common Multiple of 54965 and 54970?

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 54965 and 54970 is 604285210.

LCM(54965,54970) = 604285210

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Least Common Multiple of 54965 and 54970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54965 and 54970, than apply into the LCM equation.

GCF(54965,54970) = 5
LCM(54965,54970) = ( 54965 × 54970) / 5
LCM(54965,54970) = 3021426050 / 5
LCM(54965,54970) = 604285210

Least Common Multiple (LCM) of 54965 and 54970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54965 and 54970. First we will calculate the prime factors of 54965 and 54970.

Prime Factorization of 54965

Prime factors of 54965 are 5, 10993. Prime factorization of 54965 in exponential form is:

54965 = 51 × 109931

Prime Factorization of 54970

Prime factors of 54970 are 2, 5, 23, 239. Prime factorization of 54970 in exponential form is:

54970 = 21 × 51 × 231 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 54965 and 54970.

LCM(54965,54970) = 51 × 109931 × 21 × 231 × 2391
LCM(54965,54970) = 604285210