What is the Least Common Multiple of 37783 and 37787?
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 37787 is 1427706221.
LCM(37783,37787) = 1427706221
Least Common Multiple of 37783 and 37787 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 37787, than apply into the LCM equation.
GCF(37783,37787) = 1
LCM(37783,37787) = ( 37783 × 37787) / 1
LCM(37783,37787) = 1427706221 / 1
LCM(37783,37787) = 1427706221
Least Common Multiple (LCM) of 37783 and 37787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37783 and 37787. First we will calculate the prime factors of 37783 and 37787.
Prime Factorization of 37783
Prime factors of 37783 are 37783. Prime factorization of 37783 in exponential form is:
37783 = 377831
Prime Factorization of 37787
Prime factors of 37787 are 29, 1303. Prime factorization of 37787 in exponential form is:
37787 = 291 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 37783 and 37787.
LCM(37783,37787) = 377831 × 291 × 13031
LCM(37783,37787) = 1427706221
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