What is the Least Common Multiple of 36606 and 36625?
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 36606 and 36625 is 1340694750.
LCM(36606,36625) = 1340694750
Least Common Multiple of 36606 and 36625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36606 and 36625, than apply into the LCM equation.
GCF(36606,36625) = 1
LCM(36606,36625) = ( 36606 × 36625) / 1
LCM(36606,36625) = 1340694750 / 1
LCM(36606,36625) = 1340694750
Least Common Multiple (LCM) of 36606 and 36625 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36606 and 36625. First we will calculate the prime factors of 36606 and 36625.
Prime Factorization of 36606
Prime factors of 36606 are 2, 3, 6101. Prime factorization of 36606 in exponential form is:
36606 = 21 × 31 × 61011
Prime Factorization of 36625
Prime factors of 36625 are 5, 293. Prime factorization of 36625 in exponential form is:
36625 = 53 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 36606 and 36625.
LCM(36606,36625) = 21 × 31 × 61011 × 53 × 2931
LCM(36606,36625) = 1340694750
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