What is the Least Common Multiple of 94437 and 94446?
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 94437 and 94446 is 991021878.
LCM(94437,94446) = 991021878
Least Common Multiple of 94437 and 94446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94437 and 94446, than apply into the LCM equation.
GCF(94437,94446) = 9
LCM(94437,94446) = ( 94437 × 94446) / 9
LCM(94437,94446) = 8919196902 / 9
LCM(94437,94446) = 991021878
Least Common Multiple (LCM) of 94437 and 94446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94437 and 94446. First we will calculate the prime factors of 94437 and 94446.
Prime Factorization of 94437
Prime factors of 94437 are 3, 7, 1499. Prime factorization of 94437 in exponential form is:
94437 = 32 × 71 × 14991
Prime Factorization of 94446
Prime factors of 94446 are 2, 3, 11, 53. Prime factorization of 94446 in exponential form is:
94446 = 21 × 34 × 111 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 94437 and 94446.
LCM(94437,94446) = 34 × 71 × 14991 × 21 × 111 × 531
LCM(94437,94446) = 991021878
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