What is the Least Common Multiple of 94673 and 94693?
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 94673 and 94693 is 8964870389.
LCM(94673,94693) = 8964870389
Least Common Multiple of 94673 and 94693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94673 and 94693, than apply into the LCM equation.
GCF(94673,94693) = 1
LCM(94673,94693) = ( 94673 × 94693) / 1
LCM(94673,94693) = 8964870389 / 1
LCM(94673,94693) = 8964870389
Least Common Multiple (LCM) of 94673 and 94693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94673 and 94693. First we will calculate the prime factors of 94673 and 94693.
Prime Factorization of 94673
Prime factors of 94673 are 17, 5569. Prime factorization of 94673 in exponential form is:
94673 = 171 × 55691
Prime Factorization of 94693
Prime factors of 94693 are 94693. Prime factorization of 94693 in exponential form is:
94693 = 946931
Now multiplying the highest exponent prime factors to calculate the LCM of 94673 and 94693.
LCM(94673,94693) = 171 × 55691 × 946931
LCM(94673,94693) = 8964870389
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