What is the Least Common Multiple of 60932 and 60940?
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 60932 and 60940 is 928299020.
LCM(60932,60940) = 928299020
Least Common Multiple of 60932 and 60940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60932 and 60940, than apply into the LCM equation.
GCF(60932,60940) = 4
LCM(60932,60940) = ( 60932 × 60940) / 4
LCM(60932,60940) = 3713196080 / 4
LCM(60932,60940) = 928299020
Least Common Multiple (LCM) of 60932 and 60940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60932 and 60940. First we will calculate the prime factors of 60932 and 60940.
Prime Factorization of 60932
Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:
60932 = 22 × 152331
Prime Factorization of 60940
Prime factors of 60940 are 2, 5, 11, 277. Prime factorization of 60940 in exponential form is:
60940 = 22 × 51 × 111 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 60932 and 60940.
LCM(60932,60940) = 22 × 152331 × 51 × 111 × 2771
LCM(60932,60940) = 928299020
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