What is the Least Common Multiple of 56684 and 56694?
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 56684 and 56694 is 1606821348.
LCM(56684,56694) = 1606821348
Least Common Multiple of 56684 and 56694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56684 and 56694, than apply into the LCM equation.
GCF(56684,56694) = 2
LCM(56684,56694) = ( 56684 × 56694) / 2
LCM(56684,56694) = 3213642696 / 2
LCM(56684,56694) = 1606821348
Least Common Multiple (LCM) of 56684 and 56694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56684 and 56694. First we will calculate the prime factors of 56684 and 56694.
Prime Factorization of 56684
Prime factors of 56684 are 2, 37, 383. Prime factorization of 56684 in exponential form is:
56684 = 22 × 371 × 3831
Prime Factorization of 56694
Prime factors of 56694 are 2, 3, 11, 859. Prime factorization of 56694 in exponential form is:
56694 = 21 × 31 × 111 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 56684 and 56694.
LCM(56684,56694) = 22 × 371 × 3831 × 31 × 111 × 8591
LCM(56684,56694) = 1606821348
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