What is the Least Common Multiple of 94567 and 94577?
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 94567 and 94577 is 8943863159.
LCM(94567,94577) = 8943863159
Least Common Multiple of 94567 and 94577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94567 and 94577, than apply into the LCM equation.
GCF(94567,94577) = 1
LCM(94567,94577) = ( 94567 × 94577) / 1
LCM(94567,94577) = 8943863159 / 1
LCM(94567,94577) = 8943863159
Least Common Multiple (LCM) of 94567 and 94577 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94567 and 94577. First we will calculate the prime factors of 94567 and 94577.
Prime Factorization of 94567
Prime factors of 94567 are 11, 8597. Prime factorization of 94567 in exponential form is:
94567 = 111 × 85971
Prime Factorization of 94577
Prime factors of 94577 are 7, 59, 229. Prime factorization of 94577 in exponential form is:
94577 = 71 × 591 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 94567 and 94577.
LCM(94567,94577) = 111 × 85971 × 71 × 591 × 2291
LCM(94567,94577) = 8943863159
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