What is the Least Common Multiple of 37089 and 37096?
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 37089 and 37096 is 1375853544.
LCM(37089,37096) = 1375853544
Least Common Multiple of 37089 and 37096 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37089 and 37096, than apply into the LCM equation.
GCF(37089,37096) = 1
LCM(37089,37096) = ( 37089 × 37096) / 1
LCM(37089,37096) = 1375853544 / 1
LCM(37089,37096) = 1375853544
Least Common Multiple (LCM) of 37089 and 37096 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37089 and 37096. First we will calculate the prime factors of 37089 and 37096.
Prime Factorization of 37089
Prime factors of 37089 are 3, 13, 317. Prime factorization of 37089 in exponential form is:
37089 = 32 × 131 × 3171
Prime Factorization of 37096
Prime factors of 37096 are 2, 4637. Prime factorization of 37096 in exponential form is:
37096 = 23 × 46371
Now multiplying the highest exponent prime factors to calculate the LCM of 37089 and 37096.
LCM(37089,37096) = 32 × 131 × 3171 × 23 × 46371
LCM(37089,37096) = 1375853544
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