What is the Least Common Multiple of 60916 and 60932?
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 60916 and 60932 is 927933428.
LCM(60916,60932) = 927933428
Least Common Multiple of 60916 and 60932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60916 and 60932, than apply into the LCM equation.
GCF(60916,60932) = 4
LCM(60916,60932) = ( 60916 × 60932) / 4
LCM(60916,60932) = 3711733712 / 4
LCM(60916,60932) = 927933428
Least Common Multiple (LCM) of 60916 and 60932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60916 and 60932. First we will calculate the prime factors of 60916 and 60932.
Prime Factorization of 60916
Prime factors of 60916 are 2, 97, 157. Prime factorization of 60916 in exponential form is:
60916 = 22 × 971 × 1571
Prime Factorization of 60932
Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:
60932 = 22 × 152331
Now multiplying the highest exponent prime factors to calculate the LCM of 60916 and 60932.
LCM(60916,60932) = 22 × 971 × 1571 × 152331
LCM(60916,60932) = 927933428
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