What is the Least Common Multiple of 30495 and 30515?
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 30495 and 30515 is 186110985.
LCM(30495,30515) = 186110985
Least Common Multiple of 30495 and 30515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30495 and 30515, than apply into the LCM equation.
GCF(30495,30515) = 5
LCM(30495,30515) = ( 30495 × 30515) / 5
LCM(30495,30515) = 930554925 / 5
LCM(30495,30515) = 186110985
Least Common Multiple (LCM) of 30495 and 30515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30495 and 30515. First we will calculate the prime factors of 30495 and 30515.
Prime Factorization of 30495
Prime factors of 30495 are 3, 5, 19, 107. Prime factorization of 30495 in exponential form is:
30495 = 31 × 51 × 191 × 1071
Prime Factorization of 30515
Prime factors of 30515 are 5, 17, 359. Prime factorization of 30515 in exponential form is:
30515 = 51 × 171 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 30495 and 30515.
LCM(30495,30515) = 31 × 51 × 191 × 1071 × 171 × 3591
LCM(30495,30515) = 186110985
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