What is the Least Common Multiple of 30510 and 30522?
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 30510 and 30522 is 155204370.
LCM(30510,30522) = 155204370
Least Common Multiple of 30510 and 30522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30510 and 30522, than apply into the LCM equation.
GCF(30510,30522) = 6
LCM(30510,30522) = ( 30510 × 30522) / 6
LCM(30510,30522) = 931226220 / 6
LCM(30510,30522) = 155204370
Least Common Multiple (LCM) of 30510 and 30522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30510 and 30522. First we will calculate the prime factors of 30510 and 30522.
Prime Factorization of 30510
Prime factors of 30510 are 2, 3, 5, 113. Prime factorization of 30510 in exponential form is:
30510 = 21 × 33 × 51 × 1131
Prime Factorization of 30522
Prime factors of 30522 are 2, 3, 5087. Prime factorization of 30522 in exponential form is:
30522 = 21 × 31 × 50871
Now multiplying the highest exponent prime factors to calculate the LCM of 30510 and 30522.
LCM(30510,30522) = 21 × 33 × 51 × 1131 × 50871
LCM(30510,30522) = 155204370
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