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What is the Least Common Multiple of 56644 and 56648?

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 56644 and 56648 is 802192328.

LCM(56644,56648) = 802192328

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Least Common Multiple of 56644 and 56648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56644 and 56648, than apply into the LCM equation.

GCF(56644,56648) = 4
LCM(56644,56648) = ( 56644 × 56648) / 4
LCM(56644,56648) = 3208769312 / 4
LCM(56644,56648) = 802192328

Least Common Multiple (LCM) of 56644 and 56648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56644 and 56648. First we will calculate the prime factors of 56644 and 56648.

Prime Factorization of 56644

Prime factors of 56644 are 2, 7, 17. Prime factorization of 56644 in exponential form is:

56644 = 22 × 72 × 172

Prime Factorization of 56648

Prime factors of 56648 are 2, 73, 97. Prime factorization of 56648 in exponential form is:

56648 = 23 × 731 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 56644 and 56648.

LCM(56644,56648) = 23 × 72 × 172 × 731 × 971
LCM(56644,56648) = 802192328