What is the Least Common Multiple of 94520 and 94524?
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 94520 and 94524 is 2233602120.
LCM(94520,94524) = 2233602120
Least Common Multiple of 94520 and 94524 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94520 and 94524, than apply into the LCM equation.
GCF(94520,94524) = 4
LCM(94520,94524) = ( 94520 × 94524) / 4
LCM(94520,94524) = 8934408480 / 4
LCM(94520,94524) = 2233602120
Least Common Multiple (LCM) of 94520 and 94524 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94520 and 94524. First we will calculate the prime factors of 94520 and 94524.
Prime Factorization of 94520
Prime factors of 94520 are 2, 5, 17, 139. Prime factorization of 94520 in exponential form is:
94520 = 23 × 51 × 171 × 1391
Prime Factorization of 94524
Prime factors of 94524 are 2, 3, 7877. Prime factorization of 94524 in exponential form is:
94524 = 22 × 31 × 78771
Now multiplying the highest exponent prime factors to calculate the LCM of 94520 and 94524.
LCM(94520,94524) = 23 × 51 × 171 × 1391 × 31 × 78771
LCM(94520,94524) = 2233602120
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