What is the Least Common Multiple of 60787 and 60801?
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 60787 and 60801 is 3695910387.
LCM(60787,60801) = 3695910387
Least Common Multiple of 60787 and 60801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60787 and 60801, than apply into the LCM equation.
GCF(60787,60801) = 1
LCM(60787,60801) = ( 60787 × 60801) / 1
LCM(60787,60801) = 3695910387 / 1
LCM(60787,60801) = 3695910387
Least Common Multiple (LCM) of 60787 and 60801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60787 and 60801. First we will calculate the prime factors of 60787 and 60801.
Prime Factorization of 60787
Prime factors of 60787 are 89, 683. Prime factorization of 60787 in exponential form is:
60787 = 891 × 6831
Prime Factorization of 60801
Prime factors of 60801 are 3, 13, 1559. Prime factorization of 60801 in exponential form is:
60801 = 31 × 131 × 15591
Now multiplying the highest exponent prime factors to calculate the LCM of 60787 and 60801.
LCM(60787,60801) = 891 × 6831 × 31 × 131 × 15591
LCM(60787,60801) = 3695910387
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