What is the Least Common Multiple of 94620 and 94626?
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 94620 and 94626 is 1492252020.
LCM(94620,94626) = 1492252020
Least Common Multiple of 94620 and 94626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94620 and 94626, than apply into the LCM equation.
GCF(94620,94626) = 6
LCM(94620,94626) = ( 94620 × 94626) / 6
LCM(94620,94626) = 8953512120 / 6
LCM(94620,94626) = 1492252020
Least Common Multiple (LCM) of 94620 and 94626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94620 and 94626. First we will calculate the prime factors of 94620 and 94626.
Prime Factorization of 94620
Prime factors of 94620 are 2, 3, 5, 19, 83. Prime factorization of 94620 in exponential form is:
94620 = 22 × 31 × 51 × 191 × 831
Prime Factorization of 94626
Prime factors of 94626 are 2, 3, 7, 751. Prime factorization of 94626 in exponential form is:
94626 = 21 × 32 × 71 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 94620 and 94626.
LCM(94620,94626) = 22 × 32 × 51 × 191 × 831 × 71 × 7511
LCM(94620,94626) = 1492252020
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