What is the Least Common Multiple of 37783 and 37788?
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 37783 and 37788 is 1427744004.
LCM(37783,37788) = 1427744004
Least Common Multiple of 37783 and 37788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37783 and 37788, than apply into the LCM equation.
GCF(37783,37788) = 1
LCM(37783,37788) = ( 37783 × 37788) / 1
LCM(37783,37788) = 1427744004 / 1
LCM(37783,37788) = 1427744004
Least Common Multiple (LCM) of 37783 and 37788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37783 and 37788. First we will calculate the prime factors of 37783 and 37788.
Prime Factorization of 37783
Prime factors of 37783 are 37783. Prime factorization of 37783 in exponential form is:
37783 = 377831
Prime Factorization of 37788
Prime factors of 37788 are 2, 3, 47, 67. Prime factorization of 37788 in exponential form is:
37788 = 22 × 31 × 471 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 37783 and 37788.
LCM(37783,37788) = 377831 × 22 × 31 × 471 × 671
LCM(37783,37788) = 1427744004
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