What is the Least Common Multiple of 30572 and 30582?
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 30572 and 30582 is 467476452.
LCM(30572,30582) = 467476452
Least Common Multiple of 30572 and 30582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30572 and 30582, than apply into the LCM equation.
GCF(30572,30582) = 2
LCM(30572,30582) = ( 30572 × 30582) / 2
LCM(30572,30582) = 934952904 / 2
LCM(30572,30582) = 467476452
Least Common Multiple (LCM) of 30572 and 30582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30572 and 30582. First we will calculate the prime factors of 30572 and 30582.
Prime Factorization of 30572
Prime factors of 30572 are 2, 7643. Prime factorization of 30572 in exponential form is:
30572 = 22 × 76431
Prime Factorization of 30582
Prime factors of 30582 are 2, 3, 1699. Prime factorization of 30582 in exponential form is:
30582 = 21 × 32 × 16991
Now multiplying the highest exponent prime factors to calculate the LCM of 30572 and 30582.
LCM(30572,30582) = 22 × 76431 × 32 × 16991
LCM(30572,30582) = 467476452
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