What is the Least Common Multiple of 37119 and 37123?
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 37119 and 37123 is 1377968637.
LCM(37119,37123) = 1377968637
Least Common Multiple of 37119 and 37123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37119 and 37123, than apply into the LCM equation.
GCF(37119,37123) = 1
LCM(37119,37123) = ( 37119 × 37123) / 1
LCM(37119,37123) = 1377968637 / 1
LCM(37119,37123) = 1377968637
Least Common Multiple (LCM) of 37119 and 37123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37119 and 37123. First we will calculate the prime factors of 37119 and 37123.
Prime Factorization of 37119
Prime factors of 37119 are 3, 12373. Prime factorization of 37119 in exponential form is:
37119 = 31 × 123731
Prime Factorization of 37123
Prime factors of 37123 are 37123. Prime factorization of 37123 in exponential form is:
37123 = 371231
Now multiplying the highest exponent prime factors to calculate the LCM of 37119 and 37123.
LCM(37119,37123) = 31 × 123731 × 371231
LCM(37119,37123) = 1377968637
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