What is the Least Common Multiple of 32937 and 32957?
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 32937 and 32957 is 1085504709.
LCM(32937,32957) = 1085504709
Least Common Multiple of 32937 and 32957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32937 and 32957, than apply into the LCM equation.
GCF(32937,32957) = 1
LCM(32937,32957) = ( 32937 × 32957) / 1
LCM(32937,32957) = 1085504709 / 1
LCM(32937,32957) = 1085504709
Least Common Multiple (LCM) of 32937 and 32957 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32937 and 32957. First we will calculate the prime factors of 32937 and 32957.
Prime Factorization of 32937
Prime factors of 32937 are 3, 10979. Prime factorization of 32937 in exponential form is:
32937 = 31 × 109791
Prime Factorization of 32957
Prime factors of 32957 are 32957. Prime factorization of 32957 in exponential form is:
32957 = 329571
Now multiplying the highest exponent prime factors to calculate the LCM of 32937 and 32957.
LCM(32937,32957) = 31 × 109791 × 329571
LCM(32937,32957) = 1085504709
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