What is the Least Common Multiple of 74484 and 74490?
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 74484 and 74490 is 924718860.
LCM(74484,74490) = 924718860
Least Common Multiple of 74484 and 74490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74484 and 74490, than apply into the LCM equation.
GCF(74484,74490) = 6
LCM(74484,74490) = ( 74484 × 74490) / 6
LCM(74484,74490) = 5548313160 / 6
LCM(74484,74490) = 924718860
Least Common Multiple (LCM) of 74484 and 74490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74484 and 74490. First we will calculate the prime factors of 74484 and 74490.
Prime Factorization of 74484
Prime factors of 74484 are 2, 3, 2069. Prime factorization of 74484 in exponential form is:
74484 = 22 × 32 × 20691
Prime Factorization of 74490
Prime factors of 74490 are 2, 3, 5, 13, 191. Prime factorization of 74490 in exponential form is:
74490 = 21 × 31 × 51 × 131 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 74484 and 74490.
LCM(74484,74490) = 22 × 32 × 20691 × 51 × 131 × 1911
LCM(74484,74490) = 924718860
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