What is the Least Common Multiple of 94615 and 94632?
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 94615 and 94632 is 8953606680.
LCM(94615,94632) = 8953606680
Least Common Multiple of 94615 and 94632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94615 and 94632, than apply into the LCM equation.
GCF(94615,94632) = 1
LCM(94615,94632) = ( 94615 × 94632) / 1
LCM(94615,94632) = 8953606680 / 1
LCM(94615,94632) = 8953606680
Least Common Multiple (LCM) of 94615 and 94632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94615 and 94632. First we will calculate the prime factors of 94615 and 94632.
Prime Factorization of 94615
Prime factors of 94615 are 5, 127, 149. Prime factorization of 94615 in exponential form is:
94615 = 51 × 1271 × 1491
Prime Factorization of 94632
Prime factors of 94632 are 2, 3, 3943. Prime factorization of 94632 in exponential form is:
94632 = 23 × 31 × 39431
Now multiplying the highest exponent prime factors to calculate the LCM of 94615 and 94632.
LCM(94615,94632) = 51 × 1271 × 1491 × 23 × 31 × 39431
LCM(94615,94632) = 8953606680
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