What is the Least Common Multiple of 37104 and 37121?
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 37104 and 37121 is 1377337584.
LCM(37104,37121) = 1377337584
Least Common Multiple of 37104 and 37121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37104 and 37121, than apply into the LCM equation.
GCF(37104,37121) = 1
LCM(37104,37121) = ( 37104 × 37121) / 1
LCM(37104,37121) = 1377337584 / 1
LCM(37104,37121) = 1377337584
Least Common Multiple (LCM) of 37104 and 37121 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37104 and 37121. First we will calculate the prime factors of 37104 and 37121.
Prime Factorization of 37104
Prime factors of 37104 are 2, 3, 773. Prime factorization of 37104 in exponential form is:
37104 = 24 × 31 × 7731
Prime Factorization of 37121
Prime factors of 37121 are 7, 5303. Prime factorization of 37121 in exponential form is:
37121 = 71 × 53031
Now multiplying the highest exponent prime factors to calculate the LCM of 37104 and 37121.
LCM(37104,37121) = 24 × 31 × 7731 × 71 × 53031
LCM(37104,37121) = 1377337584
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