What is the Least Common Multiple of 94684 and 94688?
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 94684 and 94688 is 2241359648.
LCM(94684,94688) = 2241359648
Least Common Multiple of 94684 and 94688 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94684 and 94688, than apply into the LCM equation.
GCF(94684,94688) = 4
LCM(94684,94688) = ( 94684 × 94688) / 4
LCM(94684,94688) = 8965438592 / 4
LCM(94684,94688) = 2241359648
Least Common Multiple (LCM) of 94684 and 94688 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94684 and 94688. First we will calculate the prime factors of 94684 and 94688.
Prime Factorization of 94684
Prime factors of 94684 are 2, 23671. Prime factorization of 94684 in exponential form is:
94684 = 22 × 236711
Prime Factorization of 94688
Prime factors of 94688 are 2, 11, 269. Prime factorization of 94688 in exponential form is:
94688 = 25 × 111 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 94684 and 94688.
LCM(94684,94688) = 25 × 236711 × 111 × 2691
LCM(94684,94688) = 2241359648
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