What is the Least Common Multiple of 60856 and 60860?
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 60856 and 60860 is 925924040.
LCM(60856,60860) = 925924040
Least Common Multiple of 60856 and 60860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60856 and 60860, than apply into the LCM equation.
GCF(60856,60860) = 4
LCM(60856,60860) = ( 60856 × 60860) / 4
LCM(60856,60860) = 3703696160 / 4
LCM(60856,60860) = 925924040
Least Common Multiple (LCM) of 60856 and 60860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60856 and 60860. First we will calculate the prime factors of 60856 and 60860.
Prime Factorization of 60856
Prime factors of 60856 are 2, 7607. Prime factorization of 60856 in exponential form is:
60856 = 23 × 76071
Prime Factorization of 60860
Prime factors of 60860 are 2, 5, 17, 179. Prime factorization of 60860 in exponential form is:
60860 = 22 × 51 × 171 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 60856 and 60860.
LCM(60856,60860) = 23 × 76071 × 51 × 171 × 1791
LCM(60856,60860) = 925924040
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