What is the Least Common Multiple of 3767 and 3787?
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 3767 and 3787 is 14265629.
LCM(3767,3787) = 14265629
Least Common Multiple of 3767 and 3787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3767 and 3787, than apply into the LCM equation.
GCF(3767,3787) = 1
LCM(3767,3787) = ( 3767 × 3787) / 1
LCM(3767,3787) = 14265629 / 1
LCM(3767,3787) = 14265629
Least Common Multiple (LCM) of 3767 and 3787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3767 and 3787. First we will calculate the prime factors of 3767 and 3787.
Prime Factorization of 3767
Prime factors of 3767 are 3767. Prime factorization of 3767 in exponential form is:
3767 = 37671
Prime Factorization of 3787
Prime factors of 3787 are 7, 541. Prime factorization of 3787 in exponential form is:
3787 = 71 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 3767 and 3787.
LCM(3767,3787) = 37671 × 71 × 5411
LCM(3767,3787) = 14265629
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