What is the Least Common Multiple of 60502 and 60520?
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 60502 and 60520 is 1830790520.
LCM(60502,60520) = 1830790520
Least Common Multiple of 60502 and 60520 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60502 and 60520, than apply into the LCM equation.
GCF(60502,60520) = 2
LCM(60502,60520) = ( 60502 × 60520) / 2
LCM(60502,60520) = 3661581040 / 2
LCM(60502,60520) = 1830790520
Least Common Multiple (LCM) of 60502 and 60520 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60502 and 60520. First we will calculate the prime factors of 60502 and 60520.
Prime Factorization of 60502
Prime factors of 60502 are 2, 13, 179. Prime factorization of 60502 in exponential form is:
60502 = 21 × 132 × 1791
Prime Factorization of 60520
Prime factors of 60520 are 2, 5, 17, 89. Prime factorization of 60520 in exponential form is:
60520 = 23 × 51 × 171 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 60502 and 60520.
LCM(60502,60520) = 23 × 132 × 1791 × 51 × 171 × 891
LCM(60502,60520) = 1830790520
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