What is the Least Common Multiple of 37435 and 37443?
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 37435 and 37443 is 1401678705.
LCM(37435,37443) = 1401678705
Least Common Multiple of 37435 and 37443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37435 and 37443, than apply into the LCM equation.
GCF(37435,37443) = 1
LCM(37435,37443) = ( 37435 × 37443) / 1
LCM(37435,37443) = 1401678705 / 1
LCM(37435,37443) = 1401678705
Least Common Multiple (LCM) of 37435 and 37443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37435 and 37443. First we will calculate the prime factors of 37435 and 37443.
Prime Factorization of 37435
Prime factors of 37435 are 5, 7487. Prime factorization of 37435 in exponential form is:
37435 = 51 × 74871
Prime Factorization of 37443
Prime factors of 37443 are 3, 7, 1783. Prime factorization of 37443 in exponential form is:
37443 = 31 × 71 × 17831
Now multiplying the highest exponent prime factors to calculate the LCM of 37435 and 37443.
LCM(37435,37443) = 51 × 74871 × 31 × 71 × 17831
LCM(37435,37443) = 1401678705
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