What is the Least Common Multiple of 94487 and 94494?
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 94487 and 94494 is 8928454578.
LCM(94487,94494) = 8928454578
Least Common Multiple of 94487 and 94494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94487 and 94494, than apply into the LCM equation.
GCF(94487,94494) = 1
LCM(94487,94494) = ( 94487 × 94494) / 1
LCM(94487,94494) = 8928454578 / 1
LCM(94487,94494) = 8928454578
Least Common Multiple (LCM) of 94487 and 94494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94487 and 94494. First we will calculate the prime factors of 94487 and 94494.
Prime Factorization of 94487
Prime factors of 94487 are 19, 4973. Prime factorization of 94487 in exponential form is:
94487 = 191 × 49731
Prime Factorization of 94494
Prime factors of 94494 are 2, 3, 15749. Prime factorization of 94494 in exponential form is:
94494 = 21 × 31 × 157491
Now multiplying the highest exponent prime factors to calculate the LCM of 94487 and 94494.
LCM(94487,94494) = 191 × 49731 × 21 × 31 × 157491
LCM(94487,94494) = 8928454578
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