What is the Least Common Multiple of 60110 and 60124?
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 60110 and 60124 is 1807026820.
LCM(60110,60124) = 1807026820
Least Common Multiple of 60110 and 60124 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60110 and 60124, than apply into the LCM equation.
GCF(60110,60124) = 2
LCM(60110,60124) = ( 60110 × 60124) / 2
LCM(60110,60124) = 3614053640 / 2
LCM(60110,60124) = 1807026820
Least Common Multiple (LCM) of 60110 and 60124 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60110 and 60124. First we will calculate the prime factors of 60110 and 60124.
Prime Factorization of 60110
Prime factors of 60110 are 2, 5, 6011. Prime factorization of 60110 in exponential form is:
60110 = 21 × 51 × 60111
Prime Factorization of 60124
Prime factors of 60124 are 2, 15031. Prime factorization of 60124 in exponential form is:
60124 = 22 × 150311
Now multiplying the highest exponent prime factors to calculate the LCM of 60110 and 60124.
LCM(60110,60124) = 22 × 51 × 60111 × 150311
LCM(60110,60124) = 1807026820
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