What is the Least Common Multiple of 94567 and 94572?
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 94572 is 8943390324.
LCM(94567,94572) = 8943390324
Least Common Multiple of 94567 and 94572 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 94572, than apply into the LCM equation.
GCF(94567,94572) = 1
LCM(94567,94572) = ( 94567 × 94572) / 1
LCM(94567,94572) = 8943390324 / 1
LCM(94567,94572) = 8943390324
Least Common Multiple (LCM) of 94567 and 94572 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94567 and 94572. First we will calculate the prime factors of 94567 and 94572.
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 94572
Prime factors of 94572 are 2, 3, 37, 71. Prime factorization of 94572 in exponential form is:
94572 = 22 × 32 × 371 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 94567 and 94572.
LCM(94567,94572) = 111 × 85971 × 22 × 32 × 371 × 711
LCM(94567,94572) = 8943390324
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