What is the Least Common Multiple of 37789 and 37797?
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 37789 and 37797 is 1428310833.
LCM(37789,37797) = 1428310833
Least Common Multiple of 37789 and 37797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37789 and 37797, than apply into the LCM equation.
GCF(37789,37797) = 1
LCM(37789,37797) = ( 37789 × 37797) / 1
LCM(37789,37797) = 1428310833 / 1
LCM(37789,37797) = 1428310833
Least Common Multiple (LCM) of 37789 and 37797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37789 and 37797. First we will calculate the prime factors of 37789 and 37797.
Prime Factorization of 37789
Prime factors of 37789 are 23, 31, 53. Prime factorization of 37789 in exponential form is:
37789 = 231 × 311 × 531
Prime Factorization of 37797
Prime factors of 37797 are 3, 43, 293. Prime factorization of 37797 in exponential form is:
37797 = 31 × 431 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 37789 and 37797.
LCM(37789,37797) = 231 × 311 × 531 × 31 × 431 × 2931
LCM(37789,37797) = 1428310833
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