What is the Least Common Multiple of 29490 and 29507?
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 29490 and 29507 is 870161430.
LCM(29490,29507) = 870161430
Least Common Multiple of 29490 and 29507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29490 and 29507, than apply into the LCM equation.
GCF(29490,29507) = 1
LCM(29490,29507) = ( 29490 × 29507) / 1
LCM(29490,29507) = 870161430 / 1
LCM(29490,29507) = 870161430
Least Common Multiple (LCM) of 29490 and 29507 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29490 and 29507. First we will calculate the prime factors of 29490 and 29507.
Prime Factorization of 29490
Prime factors of 29490 are 2, 3, 5, 983. Prime factorization of 29490 in exponential form is:
29490 = 21 × 31 × 51 × 9831
Prime Factorization of 29507
Prime factors of 29507 are 19, 1553. Prime factorization of 29507 in exponential form is:
29507 = 191 × 15531
Now multiplying the highest exponent prime factors to calculate the LCM of 29490 and 29507.
LCM(29490,29507) = 21 × 31 × 51 × 9831 × 191 × 15531
LCM(29490,29507) = 870161430
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