What is the Least Common Multiple of 94552 and 94563?
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 94552 and 94563 is 8941120776.
LCM(94552,94563) = 8941120776
Least Common Multiple of 94552 and 94563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94552 and 94563, than apply into the LCM equation.
GCF(94552,94563) = 1
LCM(94552,94563) = ( 94552 × 94563) / 1
LCM(94552,94563) = 8941120776 / 1
LCM(94552,94563) = 8941120776
Least Common Multiple (LCM) of 94552 and 94563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94552 and 94563. First we will calculate the prime factors of 94552 and 94563.
Prime Factorization of 94552
Prime factors of 94552 are 2, 53, 223. Prime factorization of 94552 in exponential form is:
94552 = 23 × 531 × 2231
Prime Factorization of 94563
Prime factors of 94563 are 3, 7, 19, 79. Prime factorization of 94563 in exponential form is:
94563 = 32 × 71 × 191 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 94552 and 94563.
LCM(94552,94563) = 23 × 531 × 2231 × 32 × 71 × 191 × 791
LCM(94552,94563) = 8941120776
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