What is the Least Common Multiple of 56679 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 56679 and 56693 is 459043221.
LCM(56679,56693) = 459043221
Least Common Multiple of 56679 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 56679 and 56693, than apply into the LCM equation.
GCF(56679,56693) = 7
LCM(56679,56693) = ( 56679 × 56693) / 7
LCM(56679,56693) = 3213302547 / 7
LCM(56679,56693) = 459043221
Least Common Multiple (LCM) of 56679 and 56693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56679 and 56693. First we will calculate the prime factors of 56679 and 56693.
Prime Factorization of 56679
Prime factors of 56679 are 3, 7, 2699. Prime factorization of 56679 in exponential form is:
56679 = 31 × 71 × 26991
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 56679 and 56693.
LCM(56679,56693) = 31 × 72 × 26991 × 131 × 891
LCM(56679,56693) = 459043221
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