What is the Least Common Multiple of 94604 and 94610?
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 94604 and 94610 is 4475242220.
LCM(94604,94610) = 4475242220
Least Common Multiple of 94604 and 94610 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94604 and 94610, than apply into the LCM equation.
GCF(94604,94610) = 2
LCM(94604,94610) = ( 94604 × 94610) / 2
LCM(94604,94610) = 8950484440 / 2
LCM(94604,94610) = 4475242220
Least Common Multiple (LCM) of 94604 and 94610 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94604 and 94610. First we will calculate the prime factors of 94604 and 94610.
Prime Factorization of 94604
Prime factors of 94604 are 2, 67, 353. Prime factorization of 94604 in exponential form is:
94604 = 22 × 671 × 3531
Prime Factorization of 94610
Prime factors of 94610 are 2, 5, 9461. Prime factorization of 94610 in exponential form is:
94610 = 21 × 51 × 94611
Now multiplying the highest exponent prime factors to calculate the LCM of 94604 and 94610.
LCM(94604,94610) = 22 × 671 × 3531 × 51 × 94611
LCM(94604,94610) = 4475242220
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