What is the Least Common Multiple of 94683 and 94702?
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 94683 and 94702 is 8966669466.
LCM(94683,94702) = 8966669466
Least Common Multiple of 94683 and 94702 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94683 and 94702, than apply into the LCM equation.
GCF(94683,94702) = 1
LCM(94683,94702) = ( 94683 × 94702) / 1
LCM(94683,94702) = 8966669466 / 1
LCM(94683,94702) = 8966669466
Least Common Multiple (LCM) of 94683 and 94702 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94683 and 94702. First we will calculate the prime factors of 94683 and 94702.
Prime Factorization of 94683
Prime factors of 94683 are 3, 37, 853. Prime factorization of 94683 in exponential form is:
94683 = 31 × 371 × 8531
Prime Factorization of 94702
Prime factors of 94702 are 2, 47351. Prime factorization of 94702 in exponential form is:
94702 = 21 × 473511
Now multiplying the highest exponent prime factors to calculate the LCM of 94683 and 94702.
LCM(94683,94702) = 31 × 371 × 8531 × 21 × 473511
LCM(94683,94702) = 8966669466
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