What is the Least Common Multiple of 94610 and 94615?
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 94610 and 94615 is 1790305030.
LCM(94610,94615) = 1790305030
Least Common Multiple of 94610 and 94615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94610 and 94615, than apply into the LCM equation.
GCF(94610,94615) = 5
LCM(94610,94615) = ( 94610 × 94615) / 5
LCM(94610,94615) = 8951525150 / 5
LCM(94610,94615) = 1790305030
Least Common Multiple (LCM) of 94610 and 94615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94610 and 94615. First we will calculate the prime factors of 94610 and 94615.
Prime Factorization of 94610
Prime factors of 94610 are 2, 5, 9461. Prime factorization of 94610 in exponential form is:
94610 = 21 × 51 × 94611
Prime Factorization of 94615
Prime factors of 94615 are 5, 127, 149. Prime factorization of 94615 in exponential form is:
94615 = 51 × 1271 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 94610 and 94615.
LCM(94610,94615) = 21 × 51 × 94611 × 1271 × 1491
LCM(94610,94615) = 1790305030
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