What is the Least Common Multiple of 94708 and 94713?
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 94708 and 94713 is 8970078804.
LCM(94708,94713) = 8970078804
Least Common Multiple of 94708 and 94713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94708 and 94713, than apply into the LCM equation.
GCF(94708,94713) = 1
LCM(94708,94713) = ( 94708 × 94713) / 1
LCM(94708,94713) = 8970078804 / 1
LCM(94708,94713) = 8970078804
Least Common Multiple (LCM) of 94708 and 94713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94708 and 94713. First we will calculate the prime factors of 94708 and 94713.
Prime Factorization of 94708
Prime factors of 94708 are 2, 23677. Prime factorization of 94708 in exponential form is:
94708 = 22 × 236771
Prime Factorization of 94713
Prime factors of 94713 are 3, 131, 241. Prime factorization of 94713 in exponential form is:
94713 = 31 × 1311 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 94708 and 94713.
LCM(94708,94713) = 22 × 236771 × 31 × 1311 × 2411
LCM(94708,94713) = 8970078804
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