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What is the Least Common Multiple of 56680 and 56693?

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 56680 and 56693 is 247181480.

LCM(56680,56693) = 247181480

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Least Common Multiple of 56680 and 56693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56680 and 56693, than apply into the LCM equation.

GCF(56680,56693) = 13
LCM(56680,56693) = ( 56680 × 56693) / 13
LCM(56680,56693) = 3213359240 / 13
LCM(56680,56693) = 247181480

Least Common Multiple (LCM) of 56680 and 56693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56680 and 56693. First we will calculate the prime factors of 56680 and 56693.

Prime Factorization of 56680

Prime factors of 56680 are 2, 5, 13, 109. Prime factorization of 56680 in exponential form is:

56680 = 23 × 51 × 131 × 1091

Prime Factorization of 56693

Prime factors of 56693 are 7, 13, 89. Prime factorization of 56693 in exponential form is:

56693 = 72 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 56680 and 56693.

LCM(56680,56693) = 23 × 51 × 131 × 1091 × 72 × 891
LCM(56680,56693) = 247181480