What is the Least Common Multiple of 39120 and 39126?
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 39120 and 39126 is 255101520.
LCM(39120,39126) = 255101520
Least Common Multiple of 39120 and 39126 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39120 and 39126, than apply into the LCM equation.
GCF(39120,39126) = 6
LCM(39120,39126) = ( 39120 × 39126) / 6
LCM(39120,39126) = 1530609120 / 6
LCM(39120,39126) = 255101520
Least Common Multiple (LCM) of 39120 and 39126 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39120 and 39126. First we will calculate the prime factors of 39120 and 39126.
Prime Factorization of 39120
Prime factors of 39120 are 2, 3, 5, 163. Prime factorization of 39120 in exponential form is:
39120 = 24 × 31 × 51 × 1631
Prime Factorization of 39126
Prime factors of 39126 are 2, 3, 6521. Prime factorization of 39126 in exponential form is:
39126 = 21 × 31 × 65211
Now multiplying the highest exponent prime factors to calculate the LCM of 39120 and 39126.
LCM(39120,39126) = 24 × 31 × 51 × 1631 × 65211
LCM(39120,39126) = 255101520
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