What is the Least Common Multiple of 60479 and 60484?
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 60479 and 60484 is 3658011836.
LCM(60479,60484) = 3658011836
Least Common Multiple of 60479 and 60484 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60479 and 60484, than apply into the LCM equation.
GCF(60479,60484) = 1
LCM(60479,60484) = ( 60479 × 60484) / 1
LCM(60479,60484) = 3658011836 / 1
LCM(60479,60484) = 3658011836
Least Common Multiple (LCM) of 60479 and 60484 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60479 and 60484. First we will calculate the prime factors of 60479 and 60484.
Prime Factorization of 60479
Prime factors of 60479 are 197, 307. Prime factorization of 60479 in exponential form is:
60479 = 1971 × 3071
Prime Factorization of 60484
Prime factors of 60484 are 2, 15121. Prime factorization of 60484 in exponential form is:
60484 = 22 × 151211
Now multiplying the highest exponent prime factors to calculate the LCM of 60479 and 60484.
LCM(60479,60484) = 1971 × 3071 × 22 × 151211
LCM(60479,60484) = 3658011836
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