What is the Least Common Multiple of 94615 and 94629?
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 94629 is 8953322835.
LCM(94615,94629) = 8953322835
Least Common Multiple of 94615 and 94629 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 94629, than apply into the LCM equation.
GCF(94615,94629) = 1
LCM(94615,94629) = ( 94615 × 94629) / 1
LCM(94615,94629) = 8953322835 / 1
LCM(94615,94629) = 8953322835
Least Common Multiple (LCM) of 94615 and 94629 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94615 and 94629. First we will calculate the prime factors of 94615 and 94629.
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 94629
Prime factors of 94629 are 3, 31543. Prime factorization of 94629 in exponential form is:
94629 = 31 × 315431
Now multiplying the highest exponent prime factors to calculate the LCM of 94615 and 94629.
LCM(94615,94629) = 51 × 1271 × 1491 × 31 × 315431
LCM(94615,94629) = 8953322835
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