What is the Least Common Multiple of 94681 and 94685?
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 94681 and 94685 is 8964870485.
LCM(94681,94685) = 8964870485
Least Common Multiple of 94681 and 94685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94681 and 94685, than apply into the LCM equation.
GCF(94681,94685) = 1
LCM(94681,94685) = ( 94681 × 94685) / 1
LCM(94681,94685) = 8964870485 / 1
LCM(94681,94685) = 8964870485
Least Common Multiple (LCM) of 94681 and 94685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94681 and 94685. First we will calculate the prime factors of 94681 and 94685.
Prime Factorization of 94681
Prime factors of 94681 are 73, 1297. Prime factorization of 94681 in exponential form is:
94681 = 731 × 12971
Prime Factorization of 94685
Prime factors of 94685 are 5, 29, 653. Prime factorization of 94685 in exponential form is:
94685 = 51 × 291 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 94681 and 94685.
LCM(94681,94685) = 731 × 12971 × 51 × 291 × 6531
LCM(94681,94685) = 8964870485
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